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Finding the Fourth Proportional to 9,124.99, 12,592.48 and 4,933.24

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Solution

The fourth proportional to 9,124.99, 12,592.48 and 4,933.24 is: 6,807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.99 : 12,592.48 = 4,933.24 : x
  2. Step 2: Convert to fraction form
    9,124.99/12,592.48 = 4,933.24/x
  3. Step 3: Cross multiply
    9,124.99x = 12,592.48 × 4,933.24
  4. Step 4: Simplify right side
    9,124.99x = 62,121,675.41
  5. Step 5: Solve for x
    x = 62,121,675.41/9,124.99
  6. Step 6: Final answer
    x = 6,807.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.