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Finding the Fourth Proportional to 9,308.16, 12,834.75 and 6,785.82

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Solution

The fourth proportional to 9,308.16, 12,834.75 and 6,785.82 is: 9,356.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.16 : 12,834.75 = 6,785.82 : x
  2. Step 2: Convert to fraction form
    9,308.16/12,834.75 = 6,785.82/x
  3. Step 3: Cross multiply
    9,308.16x = 12,834.75 × 6,785.82
  4. Step 4: Simplify right side
    9,308.16x = 87,094,303.25
  5. Step 5: Solve for x
    x = 87,094,303.25/9,308.16
  6. Step 6: Final answer
    x = 9,356.77

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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.