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Finding the Fourth Proportional to 9,621.64, 13,274.85 and 5,642.92

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Solution

The fourth proportional to 9,621.64, 13,274.85 and 5,642.92 is: 7,785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,621.64 : 13,274.85 = 5,642.92 : x
  2. Step 2: Convert to fraction form
    9,621.64/13,274.85 = 5,642.92/x
  3. Step 3: Cross multiply
    9,621.64x = 13,274.85 × 5,642.92
  4. Step 4: Simplify right side
    9,621.64x = 74,908,916.56
  5. Step 5: Solve for x
    x = 74,908,916.56/9,621.64
  6. Step 6: Final answer
    x = 7,785.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.