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Finding the Fourth Proportional to 6,875.80, 9,488.74 and 4,487.30

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Solution

The fourth proportional to 6,875.80, 9,488.74 and 4,487.30 is: 6,192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.80 : 9,488.74 = 4,487.30 : x
  2. Step 2: Convert to fraction form
    6,875.80/9,488.74 = 4,487.30/x
  3. Step 3: Cross multiply
    6,875.80x = 9,488.74 × 4,487.30
  4. Step 4: Simplify right side
    6,875.80x = 42,578,847.64
  5. Step 5: Solve for x
    x = 42,578,847.64/6,875.80
  6. Step 6: Final answer
    x = 6,192.56

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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.