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Finding the Fourth Proportional to 9,702.40, 14,559.25 and 4,079.66

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Solution

The fourth proportional to 9,702.40, 14,559.25 and 4,079.66 is: 6,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.40 : 14,559.25 = 4,079.66 : x
  2. Step 2: Convert to fraction form
    9,702.40/14,559.25 = 4,079.66/x
  3. Step 3: Cross multiply
    9,702.40x = 14,559.25 × 4,079.66
  4. Step 4: Simplify right side
    9,702.40x = 59,396,810.95
  5. Step 5: Solve for x
    x = 59,396,810.95/9,702.40
  6. Step 6: Final answer
    x = 6,121.87

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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.