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Finding the Fourth Proportional to 9,702.75, 14,556.15 and 3,129.60

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Solution

The fourth proportional to 9,702.75, 14,556.15 and 3,129.60 is: 4,695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.75 : 14,556.15 = 3,129.60 : x
  2. Step 2: Convert to fraction form
    9,702.75/14,556.15 = 3,129.60/x
  3. Step 3: Cross multiply
    9,702.75x = 14,556.15 × 3,129.60
  4. Step 4: Simplify right side
    9,702.75x = 45,554,927.04
  5. Step 5: Solve for x
    x = 45,554,927.04/9,702.75
  6. Step 6: Final answer
    x = 4,695.05

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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.