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Finding the Fourth Proportional to 9,686.14, 13,367.07 and 5,437.51

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Solution

The fourth proportional to 9,686.14, 13,367.07 and 5,437.51 is: 7,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.14 : 13,367.07 = 5,437.51 : x
  2. Step 2: Convert to fraction form
    9,686.14/13,367.07 = 5,437.51/x
  3. Step 3: Cross multiply
    9,686.14x = 13,367.07 × 5,437.51
  4. Step 4: Simplify right side
    9,686.14x = 72,683,556.97
  5. Step 5: Solve for x
    x = 72,683,556.97/9,686.14
  6. Step 6: Final answer
    x = 7,503.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.