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Finding the Fourth Proportional to 9,211.53, 12,712.12 and 5,435.62

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Solution

The fourth proportional to 9,211.53, 12,712.12 and 5,435.62 is: 7,501.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.53 : 12,712.12 = 5,435.62 : x
  2. Step 2: Convert to fraction form
    9,211.53/12,712.12 = 5,435.62/x
  3. Step 3: Cross multiply
    9,211.53x = 12,712.12 × 5,435.62
  4. Step 4: Simplify right side
    9,211.53x = 69,098,208.35
  5. Step 5: Solve for x
    x = 69,098,208.35/9,211.53
  6. Step 6: Final answer
    x = 7,501.27

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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.