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Finding the Fourth Proportional to 6,498.42, 8,970.66 and 4,143.66

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Solution

The fourth proportional to 6,498.42, 8,970.66 and 4,143.66 is: 5,720.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.42 : 8,970.66 = 4,143.66 : x
  2. Step 2: Convert to fraction form
    6,498.42/8,970.66 = 4,143.66/x
  3. Step 3: Cross multiply
    6,498.42x = 8,970.66 × 4,143.66
  4. Step 4: Simplify right side
    6,498.42x = 37,171,365.02
  5. Step 5: Solve for x
    x = 37,171,365.02/6,498.42
  6. Step 6: Final answer
    x = 5,720.06

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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.