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Finding the Fourth Proportional to 9,803.75, 14,701.35 and 3,561.68

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Solution

The fourth proportional to 9,803.75, 14,701.35 and 3,561.68 is: 5,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.75 : 14,701.35 = 3,561.68 : x
  2. Step 2: Convert to fraction form
    9,803.75/14,701.35 = 3,561.68/x
  3. Step 3: Cross multiply
    9,803.75x = 14,701.35 × 3,561.68
  4. Step 4: Simplify right side
    9,803.75x = 52,361,430.76
  5. Step 5: Solve for x
    x = 52,361,430.76/9,803.75
  6. Step 6: Final answer
    x = 5,340.96

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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.