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Finding the Fourth Proportional to 9,124.91, 12,592.38 and 4,933.16

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Solution

The fourth proportional to 9,124.91, 12,592.38 and 4,933.16 is: 6,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.91 : 12,592.38 = 4,933.16 : x
  2. Step 2: Convert to fraction form
    9,124.91/12,592.38 = 4,933.16/x
  3. Step 3: Cross multiply
    9,124.91x = 12,592.38 × 4,933.16
  4. Step 4: Simplify right side
    9,124.91x = 62,120,225.32
  5. Step 5: Solve for x
    x = 62,120,225.32/9,124.91
  6. Step 6: Final answer
    x = 6,807.76

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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.