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Finding the Fourth Proportional to 9,300.83, 12,835.13 and 5,321.84

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Solution

The fourth proportional to 9,300.83, 12,835.13 and 5,321.84 is: 7,344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.83 : 12,835.13 = 5,321.84 : x
  2. Step 2: Convert to fraction form
    9,300.83/12,835.13 = 5,321.84/x
  3. Step 3: Cross multiply
    9,300.83x = 12,835.13 × 5,321.84
  4. Step 4: Simplify right side
    9,300.83x = 68,306,417.45
  5. Step 5: Solve for x
    x = 68,306,417.45/9,300.83
  6. Step 6: Final answer
    x = 7,344.12

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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.