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Finding the Fourth Proportional to 7,024.20, 9,673.64 and 6,871.10

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Solution

The fourth proportional to 7,024.20, 9,673.64 and 6,871.10 is: 9,462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.20 : 9,673.64 = 6,871.10 : x
  2. Step 2: Convert to fraction form
    7,024.20/9,673.64 = 6,871.10/x
  3. Step 3: Cross multiply
    7,024.20x = 9,673.64 × 6,871.10
  4. Step 4: Simplify right side
    7,024.20x = 66,468,547.80
  5. Step 5: Solve for x
    x = 66,468,547.80/7,024.20
  6. Step 6: Final answer
    x = 9,462.79

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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.