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Finding the Fourth Proportional to 9,324, 13,992.98 and 5,819.13

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Solution

The fourth proportional to 9,324, 13,992.98 and 5,819.13 is: 8,733.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324 : 13,992.98 = 5,819.13 : x
  2. Step 2: Convert to fraction form
    9,324/13,992.98 = 5,819.13/x
  3. Step 3: Cross multiply
    9,324x = 13,992.98 × 5,819.13
  4. Step 4: Simplify right side
    9,324x = 81,426,969.71
  5. Step 5: Solve for x
    x = 81,426,969.71/9,324
  6. Step 6: Final answer
    x = 8,733.05

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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.