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Finding the Fourth Proportional to 9,365.53, 12,924.81 and 5,386.64

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Solution

The fourth proportional to 9,365.53, 12,924.81 and 5,386.64 is: 7,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.53 : 12,924.81 = 5,386.64 : x
  2. Step 2: Convert to fraction form
    9,365.53/12,924.81 = 5,386.64/x
  3. Step 3: Cross multiply
    9,365.53x = 12,924.81 × 5,386.64
  4. Step 4: Simplify right side
    9,365.53x = 69,621,298.54
  5. Step 5: Solve for x
    x = 69,621,298.54/9,365.53
  6. Step 6: Final answer
    x = 7,433.78

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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.