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Finding the Fourth Proportional to 9,602.43, 14,405.67 and 4,059.20

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Solution

The fourth proportional to 9,602.43, 14,405.67 and 4,059.20 is: 6,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.43 : 14,405.67 = 4,059.20 : x
  2. Step 2: Convert to fraction form
    9,602.43/14,405.67 = 4,059.20/x
  3. Step 3: Cross multiply
    9,602.43x = 14,405.67 × 4,059.20
  4. Step 4: Simplify right side
    9,602.43x = 58,475,423.64
  5. Step 5: Solve for x
    x = 58,475,423.64/9,602.43
  6. Step 6: Final answer
    x = 6,089.65

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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.