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Finding the Fourth Proportional to 9,297.03, 13,941 and 6,487.22

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Solution

The fourth proportional to 9,297.03, 13,941 and 6,487.22 is: 9,727.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.03 : 13,941 = 6,487.22 : x
  2. Step 2: Convert to fraction form
    9,297.03/13,941 = 6,487.22/x
  3. Step 3: Cross multiply
    9,297.03x = 13,941 × 6,487.22
  4. Step 4: Simplify right side
    9,297.03x = 90,438,264.32
  5. Step 5: Solve for x
    x = 90,438,264.32/9,297.03
  6. Step 6: Final answer
    x = 9,727.65

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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.