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Finding the Fourth Proportional to 9,639.80, 14,430.90 and 5,742.20

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Solution

The fourth proportional to 9,639.80, 14,430.90 and 5,742.20 is: 8,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.80 : 14,430.90 = 5,742.20 : x
  2. Step 2: Convert to fraction form
    9,639.80/14,430.90 = 5,742.20/x
  3. Step 3: Cross multiply
    9,639.80x = 14,430.90 × 5,742.20
  4. Step 4: Simplify right side
    9,639.80x = 82,865,113.98
  5. Step 5: Solve for x
    x = 82,865,113.98/9,639.80
  6. Step 6: Final answer
    x = 8,596.14

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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.