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Finding the Fourth Proportional to 9,141.39, 12,603.37 and 7,498.21

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Solution

The fourth proportional to 9,141.39, 12,603.37 and 7,498.21 is: 10,337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.39 : 12,603.37 = 7,498.21 : x
  2. Step 2: Convert to fraction form
    9,141.39/12,603.37 = 7,498.21/x
  3. Step 3: Cross multiply
    9,141.39x = 12,603.37 × 7,498.21
  4. Step 4: Simplify right side
    9,141.39x = 94,502,714.97
  5. Step 5: Solve for x
    x = 94,502,714.97/9,141.39
  6. Step 6: Final answer
    x = 10,337.89

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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.