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Finding the Fourth Proportional to 9,154.64, 12,633.16 and 4,962.80

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Solution

The fourth proportional to 9,154.64, 12,633.16 and 4,962.80 is: 6,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.64 : 12,633.16 = 4,962.80 : x
  2. Step 2: Convert to fraction form
    9,154.64/12,633.16 = 4,962.80/x
  3. Step 3: Cross multiply
    9,154.64x = 12,633.16 × 4,962.80
  4. Step 4: Simplify right side
    9,154.64x = 62,695,846.45
  5. Step 5: Solve for x
    x = 62,695,846.45/9,154.64
  6. Step 6: Final answer
    x = 6,848.53

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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.