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Finding the Fourth Proportional to 9,154.84, 12,633.69 and 4,963.09

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Solution

The fourth proportional to 9,154.84, 12,633.69 and 4,963.09 is: 6,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.84 : 12,633.69 = 4,963.09 : x
  2. Step 2: Convert to fraction form
    9,154.84/12,633.69 = 4,963.09/x
  3. Step 3: Cross multiply
    9,154.84x = 12,633.69 × 4,963.09
  4. Step 4: Simplify right side
    9,154.84x = 62,702,140.50
  5. Step 5: Solve for x
    x = 62,702,140.50/9,154.84
  6. Step 6: Final answer
    x = 6,849.07

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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.