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Finding the Fourth Proportional to 9,586.10, 14,348.16 and 5,895.74

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Solution

The fourth proportional to 9,586.10, 14,348.16 and 5,895.74 is: 8,824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.10 : 14,348.16 = 5,895.74 : x
  2. Step 2: Convert to fraction form
    9,586.10/14,348.16 = 5,895.74/x
  3. Step 3: Cross multiply
    9,586.10x = 14,348.16 × 5,895.74
  4. Step 4: Simplify right side
    9,586.10x = 84,592,949.10
  5. Step 5: Solve for x
    x = 84,592,949.10/9,586.10
  6. Step 6: Final answer
    x = 8,824.55

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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.