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Finding the Fourth Proportional to 7,013.14, 9,677.80 and 4,026.86

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Solution

The fourth proportional to 7,013.14, 9,677.80 and 4,026.86 is: 5,556.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.14 : 9,677.80 = 4,026.86 : x
  2. Step 2: Convert to fraction form
    7,013.14/9,677.80 = 4,026.86/x
  3. Step 3: Cross multiply
    7,013.14x = 9,677.80 × 4,026.86
  4. Step 4: Simplify right side
    7,013.14x = 38,971,145.71
  5. Step 5: Solve for x
    x = 38,971,145.71/7,013.14
  6. Step 6: Final answer
    x = 5,556.88

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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.