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Finding the Fourth Proportional to 9,814.80, 14,724.65 and 3,578.22

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Solution

The fourth proportional to 9,814.80, 14,724.65 and 3,578.22 is: 5,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.80 : 14,724.65 = 3,578.22 : x
  2. Step 2: Convert to fraction form
    9,814.80/14,724.65 = 3,578.22/x
  3. Step 3: Cross multiply
    9,814.80x = 14,724.65 × 3,578.22
  4. Step 4: Simplify right side
    9,814.80x = 52,688,019.23
  5. Step 5: Solve for x
    x = 52,688,019.23/9,814.80
  6. Step 6: Final answer
    x = 5,368.22

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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.