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Finding the Fourth Proportional to 10,646.56, 15,978.80 and 9,417.04

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Solution

The fourth proportional to 10,646.56, 15,978.80 and 9,417.04 is: 14,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.56 : 15,978.80 = 9,417.04 : x
  2. Step 2: Convert to fraction form
    10,646.56/15,978.80 = 9,417.04/x
  3. Step 3: Cross multiply
    10,646.56x = 15,978.80 × 9,417.04
  4. Step 4: Simplify right side
    10,646.56x = 150,472,998.75
  5. Step 5: Solve for x
    x = 150,472,998.75/10,646.56
  6. Step 6: Final answer
    x = 14,133.49

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