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Finding the Fourth Proportional to 9,087.65, 13,631.57 and 3,244.31

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Solution

The fourth proportional to 9,087.65, 13,631.57 and 3,244.31 is: 4,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,087.65 : 13,631.57 = 3,244.31 : x
  2. Step 2: Convert to fraction form
    9,087.65/13,631.57 = 3,244.31/x
  3. Step 3: Cross multiply
    9,087.65x = 13,631.57 × 3,244.31
  4. Step 4: Simplify right side
    9,087.65x = 44,225,038.87
  5. Step 5: Solve for x
    x = 44,225,038.87/9,087.65
  6. Step 6: Final answer
    x = 4,866.50

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Why These Related Problems?

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