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Finding the Fourth Proportional to 7,154.87, 9,874.85 and 4,322.70

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Solution

The fourth proportional to 7,154.87, 9,874.85 and 4,322.70 is: 5,966.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.87 : 9,874.85 = 4,322.70 : x
  2. Step 2: Convert to fraction form
    7,154.87/9,874.85 = 4,322.70/x
  3. Step 3: Cross multiply
    7,154.87x = 9,874.85 × 4,322.70
  4. Step 4: Simplify right side
    7,154.87x = 42,685,992.48
  5. Step 5: Solve for x
    x = 42,685,992.48/7,154.87
  6. Step 6: Final answer
    x = 5,966.01

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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.