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Finding the Fourth Proportional to 9,808.74, 14,707.50 and 3,233.16

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Solution

The fourth proportional to 9,808.74, 14,707.50 and 3,233.16 is: 4,847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.74 : 14,707.50 = 3,233.16 : x
  2. Step 2: Convert to fraction form
    9,808.74/14,707.50 = 3,233.16/x
  3. Step 3: Cross multiply
    9,808.74x = 14,707.50 × 3,233.16
  4. Step 4: Simplify right side
    9,808.74x = 47,551,700.70
  5. Step 5: Solve for x
    x = 47,551,700.70/9,808.74
  6. Step 6: Final answer
    x = 4,847.89

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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.