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Finding the Fourth Proportional to 9,636.96, 14,458.80 and 5,023.20

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Solution

The fourth proportional to 9,636.96, 14,458.80 and 5,023.20 is: 7,536.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.96 : 14,458.80 = 5,023.20 : x
  2. Step 2: Convert to fraction form
    9,636.96/14,458.80 = 5,023.20/x
  3. Step 3: Cross multiply
    9,636.96x = 14,458.80 × 5,023.20
  4. Step 4: Simplify right side
    9,636.96x = 72,629,444.16
  5. Step 5: Solve for x
    x = 72,629,444.16/9,636.96
  6. Step 6: Final answer
    x = 7,536.55

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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.