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Finding the Fourth Proportional to 9,931.17, 13,704.48 and 5,682.32

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Solution

The fourth proportional to 9,931.17, 13,704.48 and 5,682.32 is: 7,841.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.17 : 13,704.48 = 5,682.32 : x
  2. Step 2: Convert to fraction form
    9,931.17/13,704.48 = 5,682.32/x
  3. Step 3: Cross multiply
    9,931.17x = 13,704.48 × 5,682.32
  4. Step 4: Simplify right side
    9,931.17x = 77,873,172.27
  5. Step 5: Solve for x
    x = 77,873,172.27/9,931.17
  6. Step 6: Final answer
    x = 7,841.29

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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.