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Finding the Fourth Proportional to 9,616.32, 13,270.62 and 5,637.54

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Solution

The fourth proportional to 9,616.32, 13,270.62 and 5,637.54 is: 7,779.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.32 : 13,270.62 = 5,637.54 : x
  2. Step 2: Convert to fraction form
    9,616.32/13,270.62 = 5,637.54/x
  3. Step 3: Cross multiply
    9,616.32x = 13,270.62 × 5,637.54
  4. Step 4: Simplify right side
    9,616.32x = 74,813,651.07
  5. Step 5: Solve for x
    x = 74,813,651.07/9,616.32
  6. Step 6: Final answer
    x = 7,779.86

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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.