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Finding the Fourth Proportional to 6,870.38, 9,484.36 and 4,387.82

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Solution

The fourth proportional to 6,870.38, 9,484.36 and 4,387.82 is: 6,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.38 : 9,484.36 = 4,387.82 : x
  2. Step 2: Convert to fraction form
    6,870.38/9,484.36 = 4,387.82/x
  3. Step 3: Cross multiply
    6,870.38x = 9,484.36 × 4,387.82
  4. Step 4: Simplify right side
    6,870.38x = 41,615,664.50
  5. Step 5: Solve for x
    x = 41,615,664.50/6,870.38
  6. Step 6: Final answer
    x = 6,057.26

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Why These Related Problems?

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