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Finding the Fourth Proportional to 9,042.16, 13,588.72 and 5,346.12

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Solution

The fourth proportional to 9,042.16, 13,588.72 and 5,346.12 is: 8,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.16 : 13,588.72 = 5,346.12 : x
  2. Step 2: Convert to fraction form
    9,042.16/13,588.72 = 5,346.12/x
  3. Step 3: Cross multiply
    9,042.16x = 13,588.72 × 5,346.12
  4. Step 4: Simplify right side
    9,042.16x = 72,646,927.77
  5. Step 5: Solve for x
    x = 72,646,927.77/9,042.16
  6. Step 6: Final answer
    x = 8,034.24

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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.