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Finding the Fourth Proportional to 7,114.69, 9,812.72 and 4,562.69

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Solution

The fourth proportional to 7,114.69, 9,812.72 and 4,562.69 is: 6,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.69 : 9,812.72 = 4,562.69 : x
  2. Step 2: Convert to fraction form
    7,114.69/9,812.72 = 4,562.69/x
  3. Step 3: Cross multiply
    7,114.69x = 9,812.72 × 4,562.69
  4. Step 4: Simplify right side
    7,114.69x = 44,772,399.42
  5. Step 5: Solve for x
    x = 44,772,399.42/7,114.69
  6. Step 6: Final answer
    x = 6,292.95

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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.