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Finding the Fourth Proportional to 6,217.35, 8,569.89 and 4,870.64

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Solution

The fourth proportional to 6,217.35, 8,569.89 and 4,870.64 is: 6,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.35 : 8,569.89 = 4,870.64 : x
  2. Step 2: Convert to fraction form
    6,217.35/8,569.89 = 4,870.64/x
  3. Step 3: Cross multiply
    6,217.35x = 8,569.89 × 4,870.64
  4. Step 4: Simplify right side
    6,217.35x = 41,740,806.18
  5. Step 5: Solve for x
    x = 41,740,806.18/6,217.35
  6. Step 6: Final answer
    x = 6,713.60

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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.