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Finding the Fourth Proportional to 9,864.68, 14,798.00 and 2,844.86

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Solution

The fourth proportional to 9,864.68, 14,798.00 and 2,844.86 is: 4,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.68 : 14,798.00 = 2,844.86 : x
  2. Step 2: Convert to fraction form
    9,864.68/14,798.00 = 2,844.86/x
  3. Step 3: Cross multiply
    9,864.68x = 14,798.00 × 2,844.86
  4. Step 4: Simplify right side
    9,864.68x = 42,098,216.23
  5. Step 5: Solve for x
    x = 42,098,216.23/9,864.68
  6. Step 6: Final answer
    x = 4,267.57

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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.