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Finding the Fourth Proportional to 9,686.36, 13,366.58 and 5,438

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Solution

The fourth proportional to 9,686.36, 13,366.58 and 5,438 is: 7,504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.36 : 13,366.58 = 5,438 : x
  2. Step 2: Convert to fraction form
    9,686.36/13,366.58 = 5,438/x
  3. Step 3: Cross multiply
    9,686.36x = 13,366.58 × 5,438
  4. Step 4: Simplify right side
    9,686.36x = 72,687,462.04
  5. Step 5: Solve for x
    x = 72,687,462.04/9,686.36
  6. Step 6: Final answer
    x = 7,504.10

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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.