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Finding the Fourth Proportional to 9,707.60, 14,561.40 and 3,134.75

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Solution

The fourth proportional to 9,707.60, 14,561.40 and 3,134.75 is: 4,702.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.60 : 14,561.40 = 3,134.75 : x
  2. Step 2: Convert to fraction form
    9,707.60/14,561.40 = 3,134.75/x
  3. Step 3: Cross multiply
    9,707.60x = 14,561.40 × 3,134.75
  4. Step 4: Simplify right side
    9,707.60x = 45,646,348.65
  5. Step 5: Solve for x
    x = 45,646,348.65/9,707.60
  6. Step 6: Final answer
    x = 4,702.13

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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.