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Finding the Fourth Proportional to 10,137.32, 13,988.18 and 6,605.31

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Solution

The fourth proportional to 10,137.32, 13,988.18 and 6,605.31 is: 9,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.32 : 13,988.18 = 6,605.31 : x
  2. Step 2: Convert to fraction form
    10,137.32/13,988.18 = 6,605.31/x
  3. Step 3: Cross multiply
    10,137.32x = 13,988.18 × 6,605.31
  4. Step 4: Simplify right side
    10,137.32x = 92,396,232.21
  5. Step 5: Solve for x
    x = 92,396,232.21/10,137.32
  6. Step 6: Final answer
    x = 9,114.47

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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.