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Finding the Fourth Proportional to 9,690.60, 14,524.22 and 5,008.08

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Solution

The fourth proportional to 9,690.60, 14,524.22 and 5,008.08 is: 7,506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.60 : 14,524.22 = 5,008.08 : x
  2. Step 2: Convert to fraction form
    9,690.60/14,524.22 = 5,008.08/x
  3. Step 3: Cross multiply
    9,690.60x = 14,524.22 × 5,008.08
  4. Step 4: Simplify right side
    9,690.60x = 72,738,430.66
  5. Step 5: Solve for x
    x = 72,738,430.66/9,690.60
  6. Step 6: Final answer
    x = 7,506.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.