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Finding the Fourth Proportional to 9,316.63, 13,978.68 and 3,393.93

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Solution

The fourth proportional to 9,316.63, 13,978.68 and 3,393.93 is: 5,092.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.63 : 13,978.68 = 3,393.93 : x
  2. Step 2: Convert to fraction form
    9,316.63/13,978.68 = 3,393.93/x
  3. Step 3: Cross multiply
    9,316.63x = 13,978.68 × 3,393.93
  4. Step 4: Simplify right side
    9,316.63x = 47,442,661.41
  5. Step 5: Solve for x
    x = 47,442,661.41/9,316.63
  6. Step 6: Final answer
    x = 5,092.26

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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.