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Finding the Fourth Proportional to 9,282.63, 12,810.84 and 5,091.69

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Solution

The fourth proportional to 9,282.63, 12,810.84 and 5,091.69 is: 7,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.63 : 12,810.84 = 5,091.69 : x
  2. Step 2: Convert to fraction form
    9,282.63/12,810.84 = 5,091.69/x
  3. Step 3: Cross multiply
    9,282.63x = 12,810.84 × 5,091.69
  4. Step 4: Simplify right side
    9,282.63x = 65,228,825.92
  5. Step 5: Solve for x
    x = 65,228,825.92/9,282.63
  6. Step 6: Final answer
    x = 7,026.98

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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.