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Finding the Fourth Proportional to 6,599.46, 9,843.58 and 6,140.18

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Solution

The fourth proportional to 6,599.46, 9,843.58 and 6,140.18 is: 9,158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.46 : 9,843.58 = 6,140.18 : x
  2. Step 2: Convert to fraction form
    6,599.46/9,843.58 = 6,140.18/x
  3. Step 3: Cross multiply
    6,599.46x = 9,843.58 × 6,140.18
  4. Step 4: Simplify right side
    6,599.46x = 60,441,353.04
  5. Step 5: Solve for x
    x = 60,441,353.04/6,599.46
  6. Step 6: Final answer
    x = 9,158.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.