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Finding the Fourth Proportional to 9,931.12, 13,704.88 and 5,454.92

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Solution

The fourth proportional to 9,931.12, 13,704.88 and 5,454.92 is: 7,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.12 : 13,704.88 = 5,454.92 : x
  2. Step 2: Convert to fraction form
    9,931.12/13,704.88 = 5,454.92/x
  3. Step 3: Cross multiply
    9,931.12x = 13,704.88 × 5,454.92
  4. Step 4: Simplify right side
    9,931.12x = 74,759,024.01
  5. Step 5: Solve for x
    x = 74,759,024.01/9,931.12
  6. Step 6: Final answer
    x = 7,527.75

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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.