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Finding the Fourth Proportional to 9,205.18, 12,701.38 and 5,848.54

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Solution

The fourth proportional to 9,205.18, 12,701.38 and 5,848.54 is: 8,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.18 : 12,701.38 = 5,848.54 : x
  2. Step 2: Convert to fraction form
    9,205.18/12,701.38 = 5,848.54/x
  3. Step 3: Cross multiply
    9,205.18x = 12,701.38 × 5,848.54
  4. Step 4: Simplify right side
    9,205.18x = 74,284,528.99
  5. Step 5: Solve for x
    x = 74,284,528.99/9,205.18
  6. Step 6: Final answer
    x = 8,069.86

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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.