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Finding the Fourth Proportional to 10,564.90, 14,607.75 and 9,252.70

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Solution

The fourth proportional to 10,564.90, 14,607.75 and 9,252.70 is: 12,793.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.90 : 14,607.75 = 9,252.70 : x
  2. Step 2: Convert to fraction form
    10,564.90/14,607.75 = 9,252.70/x
  3. Step 3: Cross multiply
    10,564.90x = 14,607.75 × 9,252.70
  4. Step 4: Simplify right side
    10,564.90x = 135,161,128.43
  5. Step 5: Solve for x
    x = 135,161,128.43/10,564.90
  6. Step 6: Final answer
    x = 12,793.41

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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.