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Finding the Fourth Proportional to 9,365.87, 12,924.14 and 5,386.20

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Solution

The fourth proportional to 9,365.87, 12,924.14 and 5,386.20 is: 7,432.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.87 : 12,924.14 = 5,386.20 : x
  2. Step 2: Convert to fraction form
    9,365.87/12,924.14 = 5,386.20/x
  3. Step 3: Cross multiply
    9,365.87x = 12,924.14 × 5,386.20
  4. Step 4: Simplify right side
    9,365.87x = 69,611,975.94
  5. Step 5: Solve for x
    x = 69,611,975.94/9,365.87
  6. Step 6: Final answer
    x = 7,432.52

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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.