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Finding the Fourth Proportional to 9,742.58, 13,426.39 and 7,049.24

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Solution

The fourth proportional to 9,742.58, 13,426.39 and 7,049.24 is: 9,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.58 : 13,426.39 = 7,049.24 : x
  2. Step 2: Convert to fraction form
    9,742.58/13,426.39 = 7,049.24/x
  3. Step 3: Cross multiply
    9,742.58x = 13,426.39 × 7,049.24
  4. Step 4: Simplify right side
    9,742.58x = 94,645,859.66
  5. Step 5: Solve for x
    x = 94,645,859.66/9,742.58
  6. Step 6: Final answer
    x = 9,714.66

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