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Finding the Fourth Proportional to 9,543.12, 14,314.02 and 3,301.68

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Solution

The fourth proportional to 9,543.12, 14,314.02 and 3,301.68 is: 4,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.12 : 14,314.02 = 3,301.68 : x
  2. Step 2: Convert to fraction form
    9,543.12/14,314.02 = 3,301.68/x
  3. Step 3: Cross multiply
    9,543.12x = 14,314.02 × 3,301.68
  4. Step 4: Simplify right side
    9,543.12x = 47,260,313.55
  5. Step 5: Solve for x
    x = 47,260,313.55/9,543.12
  6. Step 6: Final answer
    x = 4,952.29

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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.