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Finding the Fourth Proportional to 9,188.40, 13,782.60 and 3,342.63

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Solution

The fourth proportional to 9,188.40, 13,782.60 and 3,342.63 is: 5,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.40 : 13,782.60 = 3,342.63 : x
  2. Step 2: Convert to fraction form
    9,188.40/13,782.60 = 3,342.63/x
  3. Step 3: Cross multiply
    9,188.40x = 13,782.60 × 3,342.63
  4. Step 4: Simplify right side
    9,188.40x = 46,070,132.24
  5. Step 5: Solve for x
    x = 46,070,132.24/9,188.40
  6. Step 6: Final answer
    x = 5,013.95

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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.