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Finding the Fourth Proportional to 9,478.00, 14,188.91 and 7,023.83

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Solution

The fourth proportional to 9,478.00, 14,188.91 and 7,023.83 is: 10,514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.00 : 14,188.91 = 7,023.83 : x
  2. Step 2: Convert to fraction form
    9,478.00/14,188.91 = 7,023.83/x
  3. Step 3: Cross multiply
    9,478.00x = 14,188.91 × 7,023.83
  4. Step 4: Simplify right side
    9,478.00x = 99,660,491.73
  5. Step 5: Solve for x
    x = 99,660,491.73/9,478.00
  6. Step 6: Final answer
    x = 10,514.93

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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.