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Finding the Fourth Proportional to 10,609.28, 14,641.28 and 6,627.36

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Solution

The fourth proportional to 10,609.28, 14,641.28 and 6,627.36 is: 9,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.28 : 14,641.28 = 6,627.36 : x
  2. Step 2: Convert to fraction form
    10,609.28/14,641.28 = 6,627.36/x
  3. Step 3: Cross multiply
    10,609.28x = 14,641.28 × 6,627.36
  4. Step 4: Simplify right side
    10,609.28x = 97,033,033.42
  5. Step 5: Solve for x
    x = 97,033,033.42/10,609.28
  6. Step 6: Final answer
    x = 9,146.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.