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Finding the Fourth Proportional to 9,587.97, 14,362.72 and 7,616.84

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Solution

The fourth proportional to 9,587.97, 14,362.72 and 7,616.84 is: 11,409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.97 : 14,362.72 = 7,616.84 : x
  2. Step 2: Convert to fraction form
    9,587.97/14,362.72 = 7,616.84/x
  3. Step 3: Cross multiply
    9,587.97x = 14,362.72 × 7,616.84
  4. Step 4: Simplify right side
    9,587.97x = 109,398,449.35
  5. Step 5: Solve for x
    x = 109,398,449.35/9,587.97
  6. Step 6: Final answer
    x = 11,409.97

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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.