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Finding the Fourth Proportional to 9,543.84, 13,170.72 and 6,007.20

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Solution

The fourth proportional to 9,543.84, 13,170.72 and 6,007.20 is: 8,290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.84 : 13,170.72 = 6,007.20 : x
  2. Step 2: Convert to fraction form
    9,543.84/13,170.72 = 6,007.20/x
  3. Step 3: Cross multiply
    9,543.84x = 13,170.72 × 6,007.20
  4. Step 4: Simplify right side
    9,543.84x = 79,119,149.18
  5. Step 5: Solve for x
    x = 79,119,149.18/9,543.84
  6. Step 6: Final answer
    x = 8,290.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.