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Finding the Fourth Proportional to 9,588.98, 13,232.42 and 5,340.21

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Solution

The fourth proportional to 9,588.98, 13,232.42 and 5,340.21 is: 7,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.98 : 13,232.42 = 5,340.21 : x
  2. Step 2: Convert to fraction form
    9,588.98/13,232.42 = 5,340.21/x
  3. Step 3: Cross multiply
    9,588.98x = 13,232.42 × 5,340.21
  4. Step 4: Simplify right side
    9,588.98x = 70,663,874.91
  5. Step 5: Solve for x
    x = 70,663,874.91/9,588.98
  6. Step 6: Final answer
    x = 7,369.28

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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.