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Finding the Fourth Proportional to 9,761.47, 13,468.92 and 5,783.35

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Solution

The fourth proportional to 9,761.47, 13,468.92 and 5,783.35 is: 7,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.47 : 13,468.92 = 5,783.35 : x
  2. Step 2: Convert to fraction form
    9,761.47/13,468.92 = 5,783.35/x
  3. Step 3: Cross multiply
    9,761.47x = 13,468.92 × 5,783.35
  4. Step 4: Simplify right side
    9,761.47x = 77,895,478.48
  5. Step 5: Solve for x
    x = 77,895,478.48/9,761.47
  6. Step 6: Final answer
    x = 7,979.89

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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.