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Finding the Fourth Proportional to 9,240.54, 12,752.47 and 5,703.81

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Solution

The fourth proportional to 9,240.54, 12,752.47 and 5,703.81 is: 7,871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.54 : 12,752.47 = 5,703.81 : x
  2. Step 2: Convert to fraction form
    9,240.54/12,752.47 = 5,703.81/x
  3. Step 3: Cross multiply
    9,240.54x = 12,752.47 × 5,703.81
  4. Step 4: Simplify right side
    9,240.54x = 72,737,665.91
  5. Step 5: Solve for x
    x = 72,737,665.91/9,240.54
  6. Step 6: Final answer
    x = 7,871.58

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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.