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Finding the Fourth Proportional to 9,023.23, 13,502.04 and 7,448.59

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Solution

The fourth proportional to 9,023.23, 13,502.04 and 7,448.59 is: 11,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.23 : 13,502.04 = 7,448.59 : x
  2. Step 2: Convert to fraction form
    9,023.23/13,502.04 = 7,448.59/x
  3. Step 3: Cross multiply
    9,023.23x = 13,502.04 × 7,448.59
  4. Step 4: Simplify right side
    9,023.23x = 100,571,160.12
  5. Step 5: Solve for x
    x = 100,571,160.12/9,023.23
  6. Step 6: Final answer
    x = 11,145.80

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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.