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Finding the Fourth Proportional to 28,288.81, 42,438.40 and 9,314.53

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Solution

The fourth proportional to 28,288.81, 42,438.40 and 9,314.53 is: 13,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,288.81 : 42,438.40 = 9,314.53 : x
  2. Step 2: Convert to fraction form
    28,288.81/42,438.40 = 9,314.53/x
  3. Step 3: Cross multiply
    28,288.81x = 42,438.40 × 9,314.53
  4. Step 4: Simplify right side
    28,288.81x = 395,293,620.57
  5. Step 5: Solve for x
    x = 395,293,620.57/28,288.81
  6. Step 6: Final answer
    x = 13,973.50

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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.