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Finding the Fourth Proportional to 9,701.62, 13,387.85 and 5,722.90

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Solution

The fourth proportional to 9,701.62, 13,387.85 and 5,722.90 is: 7,897.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.62 : 13,387.85 = 5,722.90 : x
  2. Step 2: Convert to fraction form
    9,701.62/13,387.85 = 5,722.90/x
  3. Step 3: Cross multiply
    9,701.62x = 13,387.85 × 5,722.90
  4. Step 4: Simplify right side
    9,701.62x = 76,617,326.77
  5. Step 5: Solve for x
    x = 76,617,326.77/9,701.62
  6. Step 6: Final answer
    x = 7,897.37

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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.