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Finding the Fourth Proportional to 9,138.64, 13,712.13 and 4,972.40

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Solution

The fourth proportional to 9,138.64, 13,712.13 and 4,972.40 is: 7,460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.64 : 13,712.13 = 4,972.40 : x
  2. Step 2: Convert to fraction form
    9,138.64/13,712.13 = 4,972.40/x
  3. Step 3: Cross multiply
    9,138.64x = 13,712.13 × 4,972.40
  4. Step 4: Simplify right side
    9,138.64x = 68,182,195.21
  5. Step 5: Solve for x
    x = 68,182,195.21/9,138.64
  6. Step 6: Final answer
    x = 7,460.87

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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.