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Finding the Fourth Proportional to 9,295.70, 12,829.66 and 5,318.06

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Solution

The fourth proportional to 9,295.70, 12,829.66 and 5,318.06 is: 7,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.70 : 12,829.66 = 5,318.06 : x
  2. Step 2: Convert to fraction form
    9,295.70/12,829.66 = 5,318.06/x
  3. Step 3: Cross multiply
    9,295.70x = 12,829.66 × 5,318.06
  4. Step 4: Simplify right side
    9,295.70x = 68,228,824.22
  5. Step 5: Solve for x
    x = 68,228,824.22/9,295.70
  6. Step 6: Final answer
    x = 7,339.83

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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.