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Finding the Fourth Proportional to 9,788.61, 13,508.94 and 5,539.66

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Solution

The fourth proportional to 9,788.61, 13,508.94 and 5,539.66 is: 7,645.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.61 : 13,508.94 = 5,539.66 : x
  2. Step 2: Convert to fraction form
    9,788.61/13,508.94 = 5,539.66/x
  3. Step 3: Cross multiply
    9,788.61x = 13,508.94 × 5,539.66
  4. Step 4: Simplify right side
    9,788.61x = 74,834,934.56
  5. Step 5: Solve for x
    x = 74,834,934.56/9,788.61
  6. Step 6: Final answer
    x = 7,645.10

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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.