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Finding the Fourth Proportional to 9,188.11, 13,783.46 and 2,946.66

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Solution

The fourth proportional to 9,188.11, 13,783.46 and 2,946.66 is: 4,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.11 : 13,783.46 = 2,946.66 : x
  2. Step 2: Convert to fraction form
    9,188.11/13,783.46 = 2,946.66/x
  3. Step 3: Cross multiply
    9,188.11x = 13,783.46 × 2,946.66
  4. Step 4: Simplify right side
    9,188.11x = 40,615,103.82
  5. Step 5: Solve for x
    x = 40,615,103.82/9,188.11
  6. Step 6: Final answer
    x = 4,420.40

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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.