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Finding the Fourth Proportional to 9,197.20, 13,773.76 and 5,030.96

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Solution

The fourth proportional to 9,197.20, 13,773.76 and 5,030.96 is: 7,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.20 : 13,773.76 = 5,030.96 : x
  2. Step 2: Convert to fraction form
    9,197.20/13,773.76 = 5,030.96/x
  3. Step 3: Cross multiply
    9,197.20x = 13,773.76 × 5,030.96
  4. Step 4: Simplify right side
    9,197.20x = 69,295,235.61
  5. Step 5: Solve for x
    x = 69,295,235.61/9,197.20
  6. Step 6: Final answer
    x = 7,534.38

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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.