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Finding the Fourth Proportional to 9,564.39, 14,345.17 and 5,116.58

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Solution

The fourth proportional to 9,564.39, 14,345.17 and 5,116.58 is: 7,674.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.39 : 14,345.17 = 5,116.58 : x
  2. Step 2: Convert to fraction form
    9,564.39/14,345.17 = 5,116.58/x
  3. Step 3: Cross multiply
    9,564.39x = 14,345.17 × 5,116.58
  4. Step 4: Simplify right side
    9,564.39x = 73,398,179.20
  5. Step 5: Solve for x
    x = 73,398,179.20/9,564.39
  6. Step 6: Final answer
    x = 7,674.11

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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.