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Finding the Fourth Proportional to 6,522.24, 9,780.48 and 4,586.88

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Solution

The fourth proportional to 6,522.24, 9,780.48 and 4,586.88 is: 6,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.24 : 9,780.48 = 4,586.88 : x
  2. Step 2: Convert to fraction form
    6,522.24/9,780.48 = 4,586.88/x
  3. Step 3: Cross multiply
    6,522.24x = 9,780.48 × 4,586.88
  4. Step 4: Simplify right side
    6,522.24x = 44,861,888.10
  5. Step 5: Solve for x
    x = 44,861,888.10/6,522.24
  6. Step 6: Final answer
    x = 6,878.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.