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Finding the Fourth Proportional to 9,588.22, 14,362.89 and 4,961.50

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Solution

The fourth proportional to 9,588.22, 14,362.89 and 4,961.50 is: 7,432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.22 : 14,362.89 = 4,961.50 : x
  2. Step 2: Convert to fraction form
    9,588.22/14,362.89 = 4,961.50/x
  3. Step 3: Cross multiply
    9,588.22x = 14,362.89 × 4,961.50
  4. Step 4: Simplify right side
    9,588.22x = 71,261,478.74
  5. Step 5: Solve for x
    x = 71,261,478.74/9,588.22
  6. Step 6: Final answer
    x = 7,432.19

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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.