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Finding the Fourth Proportional to 9,726.44, 13,423.38 and 7,603.88

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Solution

The fourth proportional to 9,726.44, 13,423.38 and 7,603.88 is: 10,494.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.44 : 13,423.38 = 7,603.88 : x
  2. Step 2: Convert to fraction form
    9,726.44/13,423.38 = 7,603.88/x
  3. Step 3: Cross multiply
    9,726.44x = 13,423.38 × 7,603.88
  4. Step 4: Simplify right side
    9,726.44x = 102,069,770.71
  5. Step 5: Solve for x
    x = 102,069,770.71/9,726.44
  6. Step 6: Final answer
    x = 10,494.05

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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.