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Finding the Fourth Proportional to 9,632.70, 14,449.05 and 5,015.10

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Solution

The fourth proportional to 9,632.70, 14,449.05 and 5,015.10 is: 7,522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.70 : 14,449.05 = 5,015.10 : x
  2. Step 2: Convert to fraction form
    9,632.70/14,449.05 = 5,015.10/x
  3. Step 3: Cross multiply
    9,632.70x = 14,449.05 × 5,015.10
  4. Step 4: Simplify right side
    9,632.70x = 72,463,430.66
  5. Step 5: Solve for x
    x = 72,463,430.66/9,632.70
  6. Step 6: Final answer
    x = 7,522.65

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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.