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Finding the Fourth Proportional to 6,291.36, 9,432.99 and 1,907.64

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Solution

The fourth proportional to 6,291.36, 9,432.99 and 1,907.64 is: 2,860.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.36 : 9,432.99 = 1,907.64 : x
  2. Step 2: Convert to fraction form
    6,291.36/9,432.99 = 1,907.64/x
  3. Step 3: Cross multiply
    6,291.36x = 9,432.99 × 1,907.64
  4. Step 4: Simplify right side
    6,291.36x = 17,994,749.04
  5. Step 5: Solve for x
    x = 17,994,749.04/6,291.36
  6. Step 6: Final answer
    x = 2,860.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.