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Finding the Fourth Proportional to 9,122.27, 13,659.66 and 7,814.40

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Solution

The fourth proportional to 9,122.27, 13,659.66 and 7,814.40 is: 11,701.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.27 : 13,659.66 = 7,814.40 : x
  2. Step 2: Convert to fraction form
    9,122.27/13,659.66 = 7,814.40/x
  3. Step 3: Cross multiply
    9,122.27x = 13,659.66 × 7,814.40
  4. Step 4: Simplify right side
    9,122.27x = 106,742,047.10
  5. Step 5: Solve for x
    x = 106,742,047.10/9,122.27
  6. Step 6: Final answer
    x = 11,701.27

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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.