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Finding the Fourth Proportional to 6,411.42, 9,600.93 and 4,329.18

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Solution

The fourth proportional to 6,411.42, 9,600.93 and 4,329.18 is: 6,482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.42 : 9,600.93 = 4,329.18 : x
  2. Step 2: Convert to fraction form
    6,411.42/9,600.93 = 4,329.18/x
  3. Step 3: Cross multiply
    6,411.42x = 9,600.93 × 4,329.18
  4. Step 4: Simplify right side
    6,411.42x = 41,564,154.14
  5. Step 5: Solve for x
    x = 41,564,154.14/6,411.42
  6. Step 6: Final answer
    x = 6,482.83

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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.