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Finding the Fourth Proportional to 6,503.58, 8,967.86 and 4,142.70

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Solution

The fourth proportional to 6,503.58, 8,967.86 and 4,142.70 is: 5,712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.58 : 8,967.86 = 4,142.70 : x
  2. Step 2: Convert to fraction form
    6,503.58/8,967.86 = 4,142.70/x
  3. Step 3: Cross multiply
    6,503.58x = 8,967.86 × 4,142.70
  4. Step 4: Simplify right side
    6,503.58x = 37,151,153.62
  5. Step 5: Solve for x
    x = 37,151,153.62/6,503.58
  6. Step 6: Final answer
    x = 5,712.42

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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.