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Finding the Fourth Proportional to 9,245.34, 12,757.91 and 5,708.61

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Solution

The fourth proportional to 9,245.34, 12,757.91 and 5,708.61 is: 7,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.34 : 12,757.91 = 5,708.61 : x
  2. Step 2: Convert to fraction form
    9,245.34/12,757.91 = 5,708.61/x
  3. Step 3: Cross multiply
    9,245.34x = 12,757.91 × 5,708.61
  4. Step 4: Simplify right side
    9,245.34x = 72,829,904.06
  5. Step 5: Solve for x
    x = 72,829,904.06/9,245.34
  6. Step 6: Final answer
    x = 7,877.47

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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.