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Finding the Fourth Proportional to 6,356.30, 8,770.40 and 4,117.86

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Solution

The fourth proportional to 6,356.30, 8,770.40 and 4,117.86 is: 5,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.30 : 8,770.40 = 4,117.86 : x
  2. Step 2: Convert to fraction form
    6,356.30/8,770.40 = 4,117.86/x
  3. Step 3: Cross multiply
    6,356.30x = 8,770.40 × 4,117.86
  4. Step 4: Simplify right side
    6,356.30x = 36,115,279.34
  5. Step 5: Solve for x
    x = 36,115,279.34/6,356.30
  6. Step 6: Final answer
    x = 5,681.81

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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.