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Finding the Fourth Proportional to 6,473.20, 8,937.24 and 4,978.36

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Solution

The fourth proportional to 6,473.20, 8,937.24 and 4,978.36 is: 6,873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.20 : 8,937.24 = 4,978.36 : x
  2. Step 2: Convert to fraction form
    6,473.20/8,937.24 = 4,978.36/x
  3. Step 3: Cross multiply
    6,473.20x = 8,937.24 × 4,978.36
  4. Step 4: Simplify right side
    6,473.20x = 44,492,798.13
  5. Step 5: Solve for x
    x = 44,492,798.13/6,473.20
  6. Step 6: Final answer
    x = 6,873.39

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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.