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Finding the Fourth Proportional to 9,188.47, 13,770.55 and 3,339.46

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Solution

The fourth proportional to 9,188.47, 13,770.55 and 3,339.46 is: 5,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.47 : 13,770.55 = 3,339.46 : x
  2. Step 2: Convert to fraction form
    9,188.47/13,770.55 = 3,339.46/x
  3. Step 3: Cross multiply
    9,188.47x = 13,770.55 × 3,339.46
  4. Step 4: Simplify right side
    9,188.47x = 45,986,200.90
  5. Step 5: Solve for x
    x = 45,986,200.90/9,188.47
  6. Step 6: Final answer
    x = 5,004.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.