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Finding the Fourth Proportional to 9,154.78, 12,633.63 and 4,963.02

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Solution

The fourth proportional to 9,154.78, 12,633.63 and 4,963.02 is: 6,848.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.78 : 12,633.63 = 4,963.02 : x
  2. Step 2: Convert to fraction form
    9,154.78/12,633.63 = 4,963.02/x
  3. Step 3: Cross multiply
    9,154.78x = 12,633.63 × 4,963.02
  4. Step 4: Simplify right side
    9,154.78x = 62,700,958.36
  5. Step 5: Solve for x
    x = 62,700,958.36/9,154.78
  6. Step 6: Final answer
    x = 6,848.99

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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.