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Finding the Fourth Proportional to 6,347.66, 8,768.89 and 5,069.86

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Solution

The fourth proportional to 6,347.66, 8,768.89 and 5,069.86 is: 7,003.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.66 : 8,768.89 = 5,069.86 : x
  2. Step 2: Convert to fraction form
    6,347.66/8,768.89 = 5,069.86/x
  3. Step 3: Cross multiply
    6,347.66x = 8,768.89 × 5,069.86
  4. Step 4: Simplify right side
    6,347.66x = 44,457,000.81
  5. Step 5: Solve for x
    x = 44,457,000.81/6,347.66
  6. Step 6: Final answer
    x = 7,003.69

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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.