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Finding the Fourth Proportional to 9,733.32, 13,438.40 and 7,491.24

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Solution

The fourth proportional to 9,733.32, 13,438.40 and 7,491.24 is: 10,342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.32 : 13,438.40 = 7,491.24 : x
  2. Step 2: Convert to fraction form
    9,733.32/13,438.40 = 7,491.24/x
  3. Step 3: Cross multiply
    9,733.32x = 13,438.40 × 7,491.24
  4. Step 4: Simplify right side
    9,733.32x = 100,670,242.16
  5. Step 5: Solve for x
    x = 100,670,242.16/9,733.32
  6. Step 6: Final answer
    x = 10,342.85

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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.