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Finding the Fourth Proportional to 9,283.32, 12,810.99 and 5,091.57

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Solution

The fourth proportional to 9,283.32, 12,810.99 and 5,091.57 is: 7,026.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.32 : 12,810.99 = 5,091.57 : x
  2. Step 2: Convert to fraction form
    9,283.32/12,810.99 = 5,091.57/x
  3. Step 3: Cross multiply
    9,283.32x = 12,810.99 × 5,091.57
  4. Step 4: Simplify right side
    9,283.32x = 65,228,052.35
  5. Step 5: Solve for x
    x = 65,228,052.35/9,283.32
  6. Step 6: Final answer
    x = 7,026.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.