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Finding the Fourth Proportional to 7,232.38, 9,973.50 and 5,444.14

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Solution

The fourth proportional to 7,232.38, 9,973.50 and 5,444.14 is: 7,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.38 : 9,973.50 = 5,444.14 : x
  2. Step 2: Convert to fraction form
    7,232.38/9,973.50 = 5,444.14/x
  3. Step 3: Cross multiply
    7,232.38x = 9,973.50 × 5,444.14
  4. Step 4: Simplify right side
    7,232.38x = 54,297,130.29
  5. Step 5: Solve for x
    x = 54,297,130.29/7,232.38
  6. Step 6: Final answer
    x = 7,507.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.