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Finding the Fourth Proportional to 9,628.50, 14,444.40 and 4,084.50

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Solution

The fourth proportional to 9,628.50, 14,444.40 and 4,084.50 is: 6,127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.50 : 14,444.40 = 4,084.50 : x
  2. Step 2: Convert to fraction form
    9,628.50/14,444.40 = 4,084.50/x
  3. Step 3: Cross multiply
    9,628.50x = 14,444.40 × 4,084.50
  4. Step 4: Simplify right side
    9,628.50x = 58,998,151.80
  5. Step 5: Solve for x
    x = 58,998,151.80/9,628.50
  6. Step 6: Final answer
    x = 6,127.45

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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.