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Finding the Fourth Proportional to 9,797.78, 14,676.32 and 4,785.02

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Solution

The fourth proportional to 9,797.78, 14,676.32 and 4,785.02 is: 7,167.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.78 : 14,676.32 = 4,785.02 : x
  2. Step 2: Convert to fraction form
    9,797.78/14,676.32 = 4,785.02/x
  3. Step 3: Cross multiply
    9,797.78x = 14,676.32 × 4,785.02
  4. Step 4: Simplify right side
    9,797.78x = 70,226,387.42
  5. Step 5: Solve for x
    x = 70,226,387.42/9,797.78
  6. Step 6: Final answer
    x = 7,167.59

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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.