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Finding the Fourth Proportional to 9,122.14, 13,685.53 and 2,548.34

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Solution

The fourth proportional to 9,122.14, 13,685.53 and 2,548.34 is: 3,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.14 : 13,685.53 = 2,548.34 : x
  2. Step 2: Convert to fraction form
    9,122.14/13,685.53 = 2,548.34/x
  3. Step 3: Cross multiply
    9,122.14x = 13,685.53 × 2,548.34
  4. Step 4: Simplify right side
    9,122.14x = 34,875,383.52
  5. Step 5: Solve for x
    x = 34,875,383.52/9,122.14
  6. Step 6: Final answer
    x = 3,823.16

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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.