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Finding the Fourth Proportional to 9,154.34, 12,633 and 4,962.59

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Solution

The fourth proportional to 9,154.34, 12,633 and 4,962.59 is: 6,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.34 : 12,633 = 4,962.59 : x
  2. Step 2: Convert to fraction form
    9,154.34/12,633 = 4,962.59/x
  3. Step 3: Cross multiply
    9,154.34x = 12,633 × 4,962.59
  4. Step 4: Simplify right side
    9,154.34x = 62,692,399.47
  5. Step 5: Solve for x
    x = 62,692,399.47/9,154.34
  6. Step 6: Final answer
    x = 6,848.38

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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.