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Finding the Fourth Proportional to 9,366.49, 12,924.79 and 5,386.83

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Solution

The fourth proportional to 9,366.49, 12,924.79 and 5,386.83 is: 7,433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366.49 : 12,924.79 = 5,386.83 : x
  2. Step 2: Convert to fraction form
    9,366.49/12,924.79 = 5,386.83/x
  3. Step 3: Cross multiply
    9,366.49x = 12,924.79 × 5,386.83
  4. Step 4: Simplify right side
    9,366.49x = 69,623,646.52
  5. Step 5: Solve for x
    x = 69,623,646.52/9,366.49
  6. Step 6: Final answer
    x = 7,433.27

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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.