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Finding the Fourth Proportional to 9,438, 14,156.52 and 2,864.16

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Solution

The fourth proportional to 9,438, 14,156.52 and 2,864.16 is: 4,296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438 : 14,156.52 = 2,864.16 : x
  2. Step 2: Convert to fraction form
    9,438/14,156.52 = 2,864.16/x
  3. Step 3: Cross multiply
    9,438x = 14,156.52 × 2,864.16
  4. Step 4: Simplify right side
    9,438x = 40,546,538.32
  5. Step 5: Solve for x
    x = 40,546,538.32/9,438
  6. Step 6: Final answer
    x = 4,296.09

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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.