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Finding the Fourth Proportional to 9,154.80, 12,633.64 and 4,963.05

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Solution

The fourth proportional to 9,154.80, 12,633.64 and 4,963.05 is: 6,849.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.80 : 12,633.64 = 4,963.05 : x
  2. Step 2: Convert to fraction form
    9,154.80/12,633.64 = 4,963.05/x
  3. Step 3: Cross multiply
    9,154.80x = 12,633.64 × 4,963.05
  4. Step 4: Simplify right side
    9,154.80x = 62,701,374.59
  5. Step 5: Solve for x
    x = 62,701,374.59/9,154.80
  6. Step 6: Final answer
    x = 6,849.02

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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.