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Finding the Fourth Proportional to 9,117.42, 12,573.66 and 5,754.43

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Solution

The fourth proportional to 9,117.42, 12,573.66 and 5,754.43 is: 7,935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.42 : 12,573.66 = 5,754.43 : x
  2. Step 2: Convert to fraction form
    9,117.42/12,573.66 = 5,754.43/x
  3. Step 3: Cross multiply
    9,117.42x = 12,573.66 × 5,754.43
  4. Step 4: Simplify right side
    9,117.42x = 72,354,246.31
  5. Step 5: Solve for x
    x = 72,354,246.31/9,117.42
  6. Step 6: Final answer
    x = 7,935.82

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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.