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Finding the Fourth Proportional to 9,803.70, 14,697.28 and 4,252.87

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Solution

The fourth proportional to 9,803.70, 14,697.28 and 4,252.87 is: 6,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.70 : 14,697.28 = 4,252.87 : x
  2. Step 2: Convert to fraction form
    9,803.70/14,697.28 = 4,252.87/x
  3. Step 3: Cross multiply
    9,803.70x = 14,697.28 × 4,252.87
  4. Step 4: Simplify right side
    9,803.70x = 62,505,547.71
  5. Step 5: Solve for x
    x = 62,505,547.71/9,803.70
  6. Step 6: Final answer
    x = 6,375.71

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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.