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Finding the Fourth Proportional to 9,365.31, 12,924.50 and 5,386.42

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Solution

The fourth proportional to 9,365.31, 12,924.50 and 5,386.42 is: 7,433.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.31 : 12,924.50 = 5,386.42 : x
  2. Step 2: Convert to fraction form
    9,365.31/12,924.50 = 5,386.42/x
  3. Step 3: Cross multiply
    9,365.31x = 12,924.50 × 5,386.42
  4. Step 4: Simplify right side
    9,365.31x = 69,616,785.29
  5. Step 5: Solve for x
    x = 69,616,785.29/9,365.31
  6. Step 6: Final answer
    x = 7,433.47

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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.