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Finding the Fourth Proportional to 9,753.75, 14,594.04 and 5,790.50

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Solution

The fourth proportional to 9,753.75, 14,594.04 and 5,790.50 is: 8,664.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.75 : 14,594.04 = 5,790.50 : x
  2. Step 2: Convert to fraction form
    9,753.75/14,594.04 = 5,790.50/x
  3. Step 3: Cross multiply
    9,753.75x = 14,594.04 × 5,790.50
  4. Step 4: Simplify right side
    9,753.75x = 84,506,715.65
  5. Step 5: Solve for x
    x = 84,506,715.65/9,753.75
  6. Step 6: Final answer
    x = 8,664.02

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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.