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Finding the Fourth Proportional to 9,503.95, 13,114.92 and 5,254.77

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Solution

The fourth proportional to 9,503.95, 13,114.92 and 5,254.77 is: 7,251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.95 : 13,114.92 = 5,254.77 : x
  2. Step 2: Convert to fraction form
    9,503.95/13,114.92 = 5,254.77/x
  3. Step 3: Cross multiply
    9,503.95x = 13,114.92 × 5,254.77
  4. Step 4: Simplify right side
    9,503.95x = 68,915,835.73
  5. Step 5: Solve for x
    x = 68,915,835.73/9,503.95
  6. Step 6: Final answer
    x = 7,251.28

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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.