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Finding the Fourth Proportional to 6,471,966.30, 9,705,616.65 and 3,276,030.30

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Solution

The fourth proportional to 6,471,966.30, 9,705,616.65 and 3,276,030.30 is: 4,912,864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471,966.30 : 9,705,616.65 = 3,276,030.30 : x
  2. Step 2: Convert to fraction form
    6,471,966.30/9,705,616.65 = 3,276,030.30/x
  3. Step 3: Cross multiply
    6,471,966.30x = 9,705,616.65 × 3,276,030.30
  4. Step 4: Simplify right side
    6,471,966.30x = 31,795,894,225,584.50
  5. Step 5: Solve for x
    x = 31,795,894,225,584.50/6,471,966.30
  6. Step 6: Final answer
    x = 4,912,864.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.