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Finding the Fourth Proportional to 9,460, 14,184.66 and 3,907.18

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Solution

The fourth proportional to 9,460, 14,184.66 and 3,907.18 is: 5,858.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460 : 14,184.66 = 3,907.18 : x
  2. Step 2: Convert to fraction form
    9,460/14,184.66 = 3,907.18/x
  3. Step 3: Cross multiply
    9,460x = 14,184.66 × 3,907.18
  4. Step 4: Simplify right side
    9,460x = 55,422,019.86
  5. Step 5: Solve for x
    x = 55,422,019.86/9,460
  6. Step 6: Final answer
    x = 5,858.56

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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.