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Finding the Fourth Proportional to 9,349.61, 12,900.15 and 5,714.73

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Solution

The fourth proportional to 9,349.61, 12,900.15 and 5,714.73 is: 7,884.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.61 : 12,900.15 = 5,714.73 : x
  2. Step 2: Convert to fraction form
    9,349.61/12,900.15 = 5,714.73/x
  3. Step 3: Cross multiply
    9,349.61x = 12,900.15 × 5,714.73
  4. Step 4: Simplify right side
    9,349.61x = 73,720,866.06
  5. Step 5: Solve for x
    x = 73,720,866.06/9,349.61
  6. Step 6: Final answer
    x = 7,884.91

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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.