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Finding the Fourth Proportional to 6,405.05, 9,551.06 and 6,176.63

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Solution

The fourth proportional to 6,405.05, 9,551.06 and 6,176.63 is: 9,210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.05 : 9,551.06 = 6,176.63 : x
  2. Step 2: Convert to fraction form
    6,405.05/9,551.06 = 6,176.63/x
  3. Step 3: Cross multiply
    6,405.05x = 9,551.06 × 6,176.63
  4. Step 4: Simplify right side
    6,405.05x = 58,993,363.73
  5. Step 5: Solve for x
    x = 58,993,363.73/6,405.05
  6. Step 6: Final answer
    x = 9,210.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.