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Finding the Fourth Proportional to 9,169.40, 12,653.78 and 4,977.66

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Solution

The fourth proportional to 9,169.40, 12,653.78 and 4,977.66 is: 6,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.40 : 12,653.78 = 4,977.66 : x
  2. Step 2: Convert to fraction form
    9,169.40/12,653.78 = 4,977.66/x
  3. Step 3: Cross multiply
    9,169.40x = 12,653.78 × 4,977.66
  4. Step 4: Simplify right side
    9,169.40x = 62,986,214.55
  5. Step 5: Solve for x
    x = 62,986,214.55/9,169.40
  6. Step 6: Final answer
    x = 6,869.18

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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.