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Finding the Fourth Proportional to 9,981.68, 14,974.56 and 4,716.68

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Solution

The fourth proportional to 9,981.68, 14,974.56 and 4,716.68 is: 7,075.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.68 : 14,974.56 = 4,716.68 : x
  2. Step 2: Convert to fraction form
    9,981.68/14,974.56 = 4,716.68/x
  3. Step 3: Cross multiply
    9,981.68x = 14,974.56 × 4,716.68
  4. Step 4: Simplify right side
    9,981.68x = 70,630,132.79
  5. Step 5: Solve for x
    x = 70,630,132.79/9,981.68
  6. Step 6: Final answer
    x = 7,075.98

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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.