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Finding the Fourth Proportional to 8,897.31, 13,350.53 and 3,970.17

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Solution

The fourth proportional to 8,897.31, 13,350.53 and 3,970.17 is: 5,957.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,897.31 : 13,350.53 = 3,970.17 : x
  2. Step 2: Convert to fraction form
    8,897.31/13,350.53 = 3,970.17/x
  3. Step 3: Cross multiply
    8,897.31x = 13,350.53 × 3,970.17
  4. Step 4: Simplify right side
    8,897.31x = 53,003,883.62
  5. Step 5: Solve for x
    x = 53,003,883.62/8,897.31
  6. Step 6: Final answer
    x = 5,957.29

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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.