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Finding the Fourth Proportional to 9,042.82, 13,564.24 and 5,925.42

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Solution

The fourth proportional to 9,042.82, 13,564.24 and 5,925.42 is: 8,888.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.82 : 13,564.24 = 5,925.42 : x
  2. Step 2: Convert to fraction form
    9,042.82/13,564.24 = 5,925.42/x
  3. Step 3: Cross multiply
    9,042.82x = 13,564.24 × 5,925.42
  4. Step 4: Simplify right side
    9,042.82x = 80,373,818.98
  5. Step 5: Solve for x
    x = 80,373,818.98/9,042.82
  6. Step 6: Final answer
    x = 8,888.14

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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.