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Finding the Fourth Proportional to 6,548.82, 9,763.19 and 6,111.06

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Solution

The fourth proportional to 6,548.82, 9,763.19 and 6,111.06 is: 9,110.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.82 : 9,763.19 = 6,111.06 : x
  2. Step 2: Convert to fraction form
    6,548.82/9,763.19 = 6,111.06/x
  3. Step 3: Cross multiply
    6,548.82x = 9,763.19 × 6,111.06
  4. Step 4: Simplify right side
    6,548.82x = 59,663,409.33
  5. Step 5: Solve for x
    x = 59,663,409.33/6,548.82
  6. Step 6: Final answer
    x = 9,110.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.