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Finding the Fourth Proportional to 10,138.32, 13,987.62 and 6,602.40

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Solution

The fourth proportional to 10,138.32, 13,987.62 and 6,602.40 is: 9,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.32 : 13,987.62 = 6,602.40 : x
  2. Step 2: Convert to fraction form
    10,138.32/13,987.62 = 6,602.40/x
  3. Step 3: Cross multiply
    10,138.32x = 13,987.62 × 6,602.40
  4. Step 4: Simplify right side
    10,138.32x = 92,351,862.29
  5. Step 5: Solve for x
    x = 92,351,862.29/10,138.32
  6. Step 6: Final answer
    x = 9,109.19

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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.