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Finding the Fourth Proportional to 9,499.84, 14,249.58 and 2,574.36

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Solution

The fourth proportional to 9,499.84, 14,249.58 and 2,574.36 is: 3,861.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.84 : 14,249.58 = 2,574.36 : x
  2. Step 2: Convert to fraction form
    9,499.84/14,249.58 = 2,574.36/x
  3. Step 3: Cross multiply
    9,499.84x = 14,249.58 × 2,574.36
  4. Step 4: Simplify right side
    9,499.84x = 36,683,548.77
  5. Step 5: Solve for x
    x = 36,683,548.77/9,499.84
  6. Step 6: Final answer
    x = 3,861.49

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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.