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Finding the Fourth Proportional to 9,345.89, 12,898.36 and 5,760.13

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Solution

The fourth proportional to 9,345.89, 12,898.36 and 5,760.13 is: 7,949.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.89 : 12,898.36 = 5,760.13 : x
  2. Step 2: Convert to fraction form
    9,345.89/12,898.36 = 5,760.13/x
  3. Step 3: Cross multiply
    9,345.89x = 12,898.36 × 5,760.13
  4. Step 4: Simplify right side
    9,345.89x = 74,296,165.90
  5. Step 5: Solve for x
    x = 74,296,165.90/9,345.89
  6. Step 6: Final answer
    x = 7,949.61

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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.