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Finding the Fourth Proportional to 9,299.16, 12,833.16 and 5,320.20

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Solution

The fourth proportional to 9,299.16, 12,833.16 and 5,320.20 is: 7,342.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.16 : 12,833.16 = 5,320.20 : x
  2. Step 2: Convert to fraction form
    9,299.16/12,833.16 = 5,320.20/x
  3. Step 3: Cross multiply
    9,299.16x = 12,833.16 × 5,320.20
  4. Step 4: Simplify right side
    9,299.16x = 68,274,977.83
  5. Step 5: Solve for x
    x = 68,274,977.83/9,299.16
  6. Step 6: Final answer
    x = 7,342.06

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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.