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Finding the Fourth Proportional to 9,403.81, 12,977.19 and 5,154.85

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Solution

The fourth proportional to 9,403.81, 12,977.19 and 5,154.85 is: 7,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.81 : 12,977.19 = 5,154.85 : x
  2. Step 2: Convert to fraction form
    9,403.81/12,977.19 = 5,154.85/x
  3. Step 3: Cross multiply
    9,403.81x = 12,977.19 × 5,154.85
  4. Step 4: Simplify right side
    9,403.81x = 66,895,467.87
  5. Step 5: Solve for x
    x = 66,895,467.87/9,403.81
  6. Step 6: Final answer
    x = 7,113.66

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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.