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Finding the Fourth Proportional to 9,124.83, 13,702.83 and 5,449.86

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Solution

The fourth proportional to 9,124.83, 13,702.83 and 5,449.86 is: 8,184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.83 : 13,702.83 = 5,449.86 : x
  2. Step 2: Convert to fraction form
    9,124.83/13,702.83 = 5,449.86/x
  3. Step 3: Cross multiply
    9,124.83x = 13,702.83 × 5,449.86
  4. Step 4: Simplify right side
    9,124.83x = 74,678,505.10
  5. Step 5: Solve for x
    x = 74,678,505.10/9,124.83
  6. Step 6: Final answer
    x = 8,184.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.