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Finding the Fourth Proportional to 9,880.68, 14,814.51 and 5,923.02

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Solution

The fourth proportional to 9,880.68, 14,814.51 and 5,923.02 is: 8,880.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.68 : 14,814.51 = 5,923.02 : x
  2. Step 2: Convert to fraction form
    9,880.68/14,814.51 = 5,923.02/x
  3. Step 3: Cross multiply
    9,880.68x = 14,814.51 × 5,923.02
  4. Step 4: Simplify right side
    9,880.68x = 87,746,639.02
  5. Step 5: Solve for x
    x = 87,746,639.02/9,880.68
  6. Step 6: Final answer
    x = 8,880.63

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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.