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Finding the Fourth Proportional to 9,803.75, 14,697.35 and 4,252.91

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Solution

The fourth proportional to 9,803.75, 14,697.35 and 4,252.91 is: 6,375.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.75 : 14,697.35 = 4,252.91 : x
  2. Step 2: Convert to fraction form
    9,803.75/14,697.35 = 4,252.91/x
  3. Step 3: Cross multiply
    9,803.75x = 14,697.35 × 4,252.91
  4. Step 4: Simplify right side
    9,803.75x = 62,506,506.79
  5. Step 5: Solve for x
    x = 62,506,506.79/9,803.75
  6. Step 6: Final answer
    x = 6,375.78

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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.