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Finding the Fourth Proportional to 9,975.60, 14,956.20 and 6,514.80

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Solution

The fourth proportional to 9,975.60, 14,956.20 and 6,514.80 is: 9,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.60 : 14,956.20 = 6,514.80 : x
  2. Step 2: Convert to fraction form
    9,975.60/14,956.20 = 6,514.80/x
  3. Step 3: Cross multiply
    9,975.60x = 14,956.20 × 6,514.80
  4. Step 4: Simplify right side
    9,975.60x = 97,436,651.76
  5. Step 5: Solve for x
    x = 97,436,651.76/9,975.60
  6. Step 6: Final answer
    x = 9,767.50

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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.