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Finding the Fourth Proportional to 9,316.99, 13,978.32 and 2,743.23

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Solution

The fourth proportional to 9,316.99, 13,978.32 and 2,743.23 is: 4,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.99 : 13,978.32 = 2,743.23 : x
  2. Step 2: Convert to fraction form
    9,316.99/13,978.32 = 2,743.23/x
  3. Step 3: Cross multiply
    9,316.99x = 13,978.32 × 2,743.23
  4. Step 4: Simplify right side
    9,316.99x = 38,345,746.77
  5. Step 5: Solve for x
    x = 38,345,746.77/9,316.99
  6. Step 6: Final answer
    x = 4,115.68

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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.