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Finding the Fourth Proportional to 9,624.60, 14,410.80 and 4,997.88

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Solution

The fourth proportional to 9,624.60, 14,410.80 and 4,997.88 is: 7,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.60 : 14,410.80 = 4,997.88 : x
  2. Step 2: Convert to fraction form
    9,624.60/14,410.80 = 4,997.88/x
  3. Step 3: Cross multiply
    9,624.60x = 14,410.80 × 4,997.88
  4. Step 4: Simplify right side
    9,624.60x = 72,023,449.10
  5. Step 5: Solve for x
    x = 72,023,449.10/9,624.60
  6. Step 6: Final answer
    x = 7,483.27

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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.