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Finding the Fourth Proportional to 9,256.38, 12,775.23 and 7,281.90

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Solution

The fourth proportional to 9,256.38, 12,775.23 and 7,281.90 is: 10,050.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.38 : 12,775.23 = 7,281.90 : x
  2. Step 2: Convert to fraction form
    9,256.38/12,775.23 = 7,281.90/x
  3. Step 3: Cross multiply
    9,256.38x = 12,775.23 × 7,281.90
  4. Step 4: Simplify right side
    9,256.38x = 93,027,947.34
  5. Step 5: Solve for x
    x = 93,027,947.34/9,256.38
  6. Step 6: Final answer
    x = 10,050.14

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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.