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Finding the Fourth Proportional to 10,342, 14,272.86 and 6,564.70

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Solution

The fourth proportional to 10,342, 14,272.86 and 6,564.70 is: 9,059.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342 : 14,272.86 = 6,564.70 : x
  2. Step 2: Convert to fraction form
    10,342/14,272.86 = 6,564.70/x
  3. Step 3: Cross multiply
    10,342x = 14,272.86 × 6,564.70
  4. Step 4: Simplify right side
    10,342x = 93,697,044.04
  5. Step 5: Solve for x
    x = 93,697,044.04/10,342
  6. Step 6: Final answer
    x = 9,059.86

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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.