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Finding the Fourth Proportional to 9,587.41, 14,361.96 and 7,616.37

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Solution

The fourth proportional to 9,587.41, 14,361.96 and 7,616.37 is: 11,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.41 : 14,361.96 = 7,616.37 : x
  2. Step 2: Convert to fraction form
    9,587.41/14,361.96 = 7,616.37/x
  3. Step 3: Cross multiply
    9,587.41x = 14,361.96 × 7,616.37
  4. Step 4: Simplify right side
    9,587.41x = 109,386,001.29
  5. Step 5: Solve for x
    x = 109,386,001.29/9,587.41
  6. Step 6: Final answer
    x = 11,409.34

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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.