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Finding the Fourth Proportional to 9,211.32, 12,728.88 and 7,532.12

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Solution

The fourth proportional to 9,211.32, 12,728.88 and 7,532.12 is: 10,408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.32 : 12,728.88 = 7,532.12 : x
  2. Step 2: Convert to fraction form
    9,211.32/12,728.88 = 7,532.12/x
  3. Step 3: Cross multiply
    9,211.32x = 12,728.88 × 7,532.12
  4. Step 4: Simplify right side
    9,211.32x = 95,875,483.45
  5. Step 5: Solve for x
    x = 95,875,483.45/9,211.32
  6. Step 6: Final answer
    x = 10,408.44

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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.