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Finding the Fourth Proportional to 9,154.63, 12,633.38 and 4,962.88

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Solution

The fourth proportional to 9,154.63, 12,633.38 and 4,962.88 is: 6,848.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.63 : 12,633.38 = 4,962.88 : x
  2. Step 2: Convert to fraction form
    9,154.63/12,633.38 = 4,962.88/x
  3. Step 3: Cross multiply
    9,154.63x = 12,633.38 × 4,962.88
  4. Step 4: Simplify right side
    9,154.63x = 62,697,948.93
  5. Step 5: Solve for x
    x = 62,697,948.93/9,154.63
  6. Step 6: Final answer
    x = 6,848.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.