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Finding the Fourth Proportional to 9,587.76, 13,232.34 and 5,396.82

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Solution

The fourth proportional to 9,587.76, 13,232.34 and 5,396.82 is: 7,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.76 : 13,232.34 = 5,396.82 : x
  2. Step 2: Convert to fraction form
    9,587.76/13,232.34 = 5,396.82/x
  3. Step 3: Cross multiply
    9,587.76x = 13,232.34 × 5,396.82
  4. Step 4: Simplify right side
    9,587.76x = 71,412,557.16
  5. Step 5: Solve for x
    x = 71,412,557.16/9,587.76
  6. Step 6: Final answer
    x = 7,448.30

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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.