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Finding the Fourth Proportional to 9,243.47, 12,756.24 and 5,658.36

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Solution

The fourth proportional to 9,243.47, 12,756.24 and 5,658.36 is: 7,808.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.47 : 12,756.24 = 5,658.36 : x
  2. Step 2: Convert to fraction form
    9,243.47/12,756.24 = 5,658.36/x
  3. Step 3: Cross multiply
    9,243.47x = 12,756.24 × 5,658.36
  4. Step 4: Simplify right side
    9,243.47x = 72,179,398.17
  5. Step 5: Solve for x
    x = 72,179,398.17/9,243.47
  6. Step 6: Final answer
    x = 7,808.69

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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.