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Finding the Fourth Proportional to 9,650.53, 14,480.40 and 5,437.13

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Solution

The fourth proportional to 9,650.53, 14,480.40 and 5,437.13 is: 8,158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.53 : 14,480.40 = 5,437.13 : x
  2. Step 2: Convert to fraction form
    9,650.53/14,480.40 = 5,437.13/x
  3. Step 3: Cross multiply
    9,650.53x = 14,480.40 × 5,437.13
  4. Step 4: Simplify right side
    9,650.53x = 78,731,887.42
  5. Step 5: Solve for x
    x = 78,731,887.42/9,650.53
  6. Step 6: Final answer
    x = 8,158.30

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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.