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Finding the Fourth Proportional to 9,119.84, 13,657.68 and 7,548.26

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Solution

The fourth proportional to 9,119.84, 13,657.68 and 7,548.26 is: 11,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.84 : 13,657.68 = 7,548.26 : x
  2. Step 2: Convert to fraction form
    9,119.84/13,657.68 = 7,548.26/x
  3. Step 3: Cross multiply
    9,119.84x = 13,657.68 × 7,548.26
  4. Step 4: Simplify right side
    9,119.84x = 103,091,651.35
  5. Step 5: Solve for x
    x = 103,091,651.35/9,119.84
  6. Step 6: Final answer
    x = 11,304.11

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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.