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Finding the Fourth Proportional to 9,023.32, 13,469.63 and 7,798.60

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Solution

The fourth proportional to 9,023.32, 13,469.63 and 7,798.60 is: 11,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.32 : 13,469.63 = 7,798.60 : x
  2. Step 2: Convert to fraction form
    9,023.32/13,469.63 = 7,798.60/x
  3. Step 3: Cross multiply
    9,023.32x = 13,469.63 × 7,798.60
  4. Step 4: Simplify right side
    9,023.32x = 105,044,256.52
  5. Step 5: Solve for x
    x = 105,044,256.52/9,023.32
  6. Step 6: Final answer
    x = 11,641.42

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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.