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Finding the Fourth Proportional to 9,256.76, 13,880.16 and 4,056.56

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Solution

The fourth proportional to 9,256.76, 13,880.16 and 4,056.56 is: 6,082.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.76 : 13,880.16 = 4,056.56 : x
  2. Step 2: Convert to fraction form
    9,256.76/13,880.16 = 4,056.56/x
  3. Step 3: Cross multiply
    9,256.76x = 13,880.16 × 4,056.56
  4. Step 4: Simplify right side
    9,256.76x = 56,305,701.85
  5. Step 5: Solve for x
    x = 56,305,701.85/9,256.76
  6. Step 6: Final answer
    x = 6,082.66

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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.