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Finding the Fourth Proportional to 9,456.12, 13,044.96 and 7,345.80

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Solution

The fourth proportional to 9,456.12, 13,044.96 and 7,345.80 is: 10,133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.12 : 13,044.96 = 7,345.80 : x
  2. Step 2: Convert to fraction form
    9,456.12/13,044.96 = 7,345.80/x
  3. Step 3: Cross multiply
    9,456.12x = 13,044.96 × 7,345.80
  4. Step 4: Simplify right side
    9,456.12x = 95,825,667.17
  5. Step 5: Solve for x
    x = 95,825,667.17/9,456.12
  6. Step 6: Final answer
    x = 10,133.72

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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.