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Finding the Fourth Proportional to 9,205.35, 13,815.02 and 6,746.59

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Solution

The fourth proportional to 9,205.35, 13,815.02 and 6,746.59 is: 10,125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.35 : 13,815.02 = 6,746.59 : x
  2. Step 2: Convert to fraction form
    9,205.35/13,815.02 = 6,746.59/x
  3. Step 3: Cross multiply
    9,205.35x = 13,815.02 × 6,746.59
  4. Step 4: Simplify right side
    9,205.35x = 93,204,275.78
  5. Step 5: Solve for x
    x = 93,204,275.78/9,205.35
  6. Step 6: Final answer
    x = 10,125.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.