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Finding the Fourth Proportional to 6,898.47, 9,519.78 and 4,065.39

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Solution

The fourth proportional to 6,898.47, 9,519.78 and 4,065.39 is: 5,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.47 : 9,519.78 = 4,065.39 : x
  2. Step 2: Convert to fraction form
    6,898.47/9,519.78 = 4,065.39/x
  3. Step 3: Cross multiply
    6,898.47x = 9,519.78 × 4,065.39
  4. Step 4: Simplify right side
    6,898.47x = 38,701,598.09
  5. Step 5: Solve for x
    x = 38,701,598.09/6,898.47
  6. Step 6: Final answer
    x = 5,610.18

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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.