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Finding the Fourth Proportional to 9,124.74, 13,712.67 and 5,427.54

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Solution

The fourth proportional to 9,124.74, 13,712.67 and 5,427.54 is: 8,156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.74 : 13,712.67 = 5,427.54 : x
  2. Step 2: Convert to fraction form
    9,124.74/13,712.67 = 5,427.54/x
  3. Step 3: Cross multiply
    9,124.74x = 13,712.67 × 5,427.54
  4. Step 4: Simplify right side
    9,124.74x = 74,426,064.93
  5. Step 5: Solve for x
    x = 74,426,064.93/9,124.74
  6. Step 6: Final answer
    x = 8,156.51

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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.