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Finding the Fourth Proportional to 6,293.60, 9,442.62 and 3,522.65

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Solution

The fourth proportional to 6,293.60, 9,442.62 and 3,522.65 is: 5,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.60 : 9,442.62 = 3,522.65 : x
  2. Step 2: Convert to fraction form
    6,293.60/9,442.62 = 3,522.65/x
  3. Step 3: Cross multiply
    6,293.60x = 9,442.62 × 3,522.65
  4. Step 4: Simplify right side
    6,293.60x = 33,263,045.34
  5. Step 5: Solve for x
    x = 33,263,045.34/6,293.60
  6. Step 6: Final answer
    x = 5,285.22

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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.