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Finding the Fourth Proportional to 6,702.60, 9,260.72 and 5,297.06

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Solution

The fourth proportional to 6,702.60, 9,260.72 and 5,297.06 is: 7,318.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.60 : 9,260.72 = 5,297.06 : x
  2. Step 2: Convert to fraction form
    6,702.60/9,260.72 = 5,297.06/x
  3. Step 3: Cross multiply
    6,702.60x = 9,260.72 × 5,297.06
  4. Step 4: Simplify right side
    6,702.60x = 49,054,516.69
  5. Step 5: Solve for x
    x = 49,054,516.69/6,702.60
  6. Step 6: Final answer
    x = 7,318.73

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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.