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Finding the Fourth Proportional to 9,146.97, 12,613.59 and 7,462.98

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Solution

The fourth proportional to 9,146.97, 12,613.59 and 7,462.98 is: 10,291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.97 : 12,613.59 = 7,462.98 : x
  2. Step 2: Convert to fraction form
    9,146.97/12,613.59 = 7,462.98/x
  3. Step 3: Cross multiply
    9,146.97x = 12,613.59 × 7,462.98
  4. Step 4: Simplify right side
    9,146.97x = 94,134,969.90
  5. Step 5: Solve for x
    x = 94,134,969.90/9,146.97
  6. Step 6: Final answer
    x = 10,291.38

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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.