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Finding the Fourth Proportional to 9,656.72, 14,483.60 and 8,023.76

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Solution

The fourth proportional to 9,656.72, 14,483.60 and 8,023.76 is: 12,034.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.72 : 14,483.60 = 8,023.76 : x
  2. Step 2: Convert to fraction form
    9,656.72/14,483.60 = 8,023.76/x
  3. Step 3: Cross multiply
    9,656.72x = 14,483.60 × 8,023.76
  4. Step 4: Simplify right side
    9,656.72x = 116,212,930.34
  5. Step 5: Solve for x
    x = 116,212,930.34/9,656.72
  6. Step 6: Final answer
    x = 12,034.41

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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.