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Finding the Fourth Proportional to 9,690.52, 13,375.04 and 5,710.20

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Solution

The fourth proportional to 9,690.52, 13,375.04 and 5,710.20 is: 7,881.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.52 : 13,375.04 = 5,710.20 : x
  2. Step 2: Convert to fraction form
    9,690.52/13,375.04 = 5,710.20/x
  3. Step 3: Cross multiply
    9,690.52x = 13,375.04 × 5,710.20
  4. Step 4: Simplify right side
    9,690.52x = 76,374,153.41
  5. Step 5: Solve for x
    x = 76,374,153.41/9,690.52
  6. Step 6: Final answer
    x = 7,881.33

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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.