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Finding the Fourth Proportional to 9,291.50, 12,822.24 and 5,312.69

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Solution

The fourth proportional to 9,291.50, 12,822.24 and 5,312.69 is: 7,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.50 : 12,822.24 = 5,312.69 : x
  2. Step 2: Convert to fraction form
    9,291.50/12,822.24 = 5,312.69/x
  3. Step 3: Cross multiply
    9,291.50x = 12,822.24 × 5,312.69
  4. Step 4: Simplify right side
    9,291.50x = 68,120,586.23
  5. Step 5: Solve for x
    x = 68,120,586.23/9,291.50
  6. Step 6: Final answer
    x = 7,331.50

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