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Finding the Fourth Proportional to 9,605.40, 14,407.56 and 2,679.90

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Solution

The fourth proportional to 9,605.40, 14,407.56 and 2,679.90 is: 4,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.40 : 14,407.56 = 2,679.90 : x
  2. Step 2: Convert to fraction form
    9,605.40/14,407.56 = 2,679.90/x
  3. Step 3: Cross multiply
    9,605.40x = 14,407.56 × 2,679.90
  4. Step 4: Simplify right side
    9,605.40x = 38,610,820.04
  5. Step 5: Solve for x
    x = 38,610,820.04/9,605.40
  6. Step 6: Final answer
    x = 4,019.70

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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.