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Finding the Fourth Proportional to 9,586.10, 14,366.01 and 4,896.25

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Solution

The fourth proportional to 9,586.10, 14,366.01 and 4,896.25 is: 7,337.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.10 : 14,366.01 = 4,896.25 : x
  2. Step 2: Convert to fraction form
    9,586.10/14,366.01 = 4,896.25/x
  3. Step 3: Cross multiply
    9,586.10x = 14,366.01 × 4,896.25
  4. Step 4: Simplify right side
    9,586.10x = 70,339,531.37
  5. Step 5: Solve for x
    x = 70,339,531.37/9,586.10
  6. Step 6: Final answer
    x = 7,337.66

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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.