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Finding the Fourth Proportional to 9,600.30, 14,400.45 and 5,702.70

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Solution

The fourth proportional to 9,600.30, 14,400.45 and 5,702.70 is: 8,554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.30 : 14,400.45 = 5,702.70 : x
  2. Step 2: Convert to fraction form
    9,600.30/14,400.45 = 5,702.70/x
  3. Step 3: Cross multiply
    9,600.30x = 14,400.45 × 5,702.70
  4. Step 4: Simplify right side
    9,600.30x = 82,121,446.22
  5. Step 5: Solve for x
    x = 82,121,446.22/9,600.30
  6. Step 6: Final answer
    x = 8,554.05

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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.