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Finding the Fourth Proportional to 9,788.54, 13,508.87 and 5,539.61

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Solution

The fourth proportional to 9,788.54, 13,508.87 and 5,539.61 is: 7,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.54 : 13,508.87 = 5,539.61 : x
  2. Step 2: Convert to fraction form
    9,788.54/13,508.87 = 5,539.61/x
  3. Step 3: Cross multiply
    9,788.54x = 13,508.87 × 5,539.61
  4. Step 4: Simplify right side
    9,788.54x = 74,833,877.41
  5. Step 5: Solve for x
    x = 74,833,877.41/9,788.54
  6. Step 6: Final answer
    x = 7,645.05

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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.