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Finding the Fourth Proportional to 9,042.66, 13,589.46 and 5,346.63

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Solution

The fourth proportional to 9,042.66, 13,589.46 and 5,346.63 is: 8,035.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.66 : 13,589.46 = 5,346.63 : x
  2. Step 2: Convert to fraction form
    9,042.66/13,589.46 = 5,346.63/x
  3. Step 3: Cross multiply
    9,042.66x = 13,589.46 × 5,346.63
  4. Step 4: Simplify right side
    9,042.66x = 72,657,814.52
  5. Step 5: Solve for x
    x = 72,657,814.52/9,042.66
  6. Step 6: Final answer
    x = 8,035.00

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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.