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Finding the Fourth Proportional to 9,488, 13,094.07 and 5,296.34

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Solution

The fourth proportional to 9,488, 13,094.07 and 5,296.34 is: 7,309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488 : 13,094.07 = 5,296.34 : x
  2. Step 2: Convert to fraction form
    9,488/13,094.07 = 5,296.34/x
  3. Step 3: Cross multiply
    9,488x = 13,094.07 × 5,296.34
  4. Step 4: Simplify right side
    9,488x = 69,350,646.70
  5. Step 5: Solve for x
    x = 69,350,646.70/9,488
  6. Step 6: Final answer
    x = 7,309.30

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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.