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Finding the Fourth Proportional to 6,199.39, 9,341.70 and 5,127.76

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Solution

The fourth proportional to 6,199.39, 9,341.70 and 5,127.76 is: 7,726.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.39 : 9,341.70 = 5,127.76 : x
  2. Step 2: Convert to fraction form
    6,199.39/9,341.70 = 5,127.76/x
  3. Step 3: Cross multiply
    6,199.39x = 9,341.70 × 5,127.76
  4. Step 4: Simplify right side
    6,199.39x = 47,902,031.31
  5. Step 5: Solve for x
    x = 47,902,031.31/6,199.39
  6. Step 6: Final answer
    x = 7,726.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.