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Finding the Fourth Proportional to 9,788.08, 14,663.28 and 7,817.64

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Solution

The fourth proportional to 9,788.08, 14,663.28 and 7,817.64 is: 11,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.08 : 14,663.28 = 7,817.64 : x
  2. Step 2: Convert to fraction form
    9,788.08/14,663.28 = 7,817.64/x
  3. Step 3: Cross multiply
    9,788.08x = 14,663.28 × 7,817.64
  4. Step 4: Simplify right side
    9,788.08x = 114,632,244.26
  5. Step 5: Solve for x
    x = 114,632,244.26/9,788.08
  6. Step 6: Final answer
    x = 11,711.41

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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.