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Finding the Fourth Proportional to 9,859.65, 14,800.01 and 5,475.93

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Solution

The fourth proportional to 9,859.65, 14,800.01 and 5,475.93 is: 8,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.65 : 14,800.01 = 5,475.93 : x
  2. Step 2: Convert to fraction form
    9,859.65/14,800.01 = 5,475.93/x
  3. Step 3: Cross multiply
    9,859.65x = 14,800.01 × 5,475.93
  4. Step 4: Simplify right side
    9,859.65x = 81,043,791.38
  5. Step 5: Solve for x
    x = 81,043,791.38/9,859.65
  6. Step 6: Final answer
    x = 8,219.74

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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.