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Finding the Fourth Proportional to 9,785.91, 14,653.80 and 5,398.50

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Solution

The fourth proportional to 9,785.91, 14,653.80 and 5,398.50 is: 8,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.91 : 14,653.80 = 5,398.50 : x
  2. Step 2: Convert to fraction form
    9,785.91/14,653.80 = 5,398.50/x
  3. Step 3: Cross multiply
    9,785.91x = 14,653.80 × 5,398.50
  4. Step 4: Simplify right side
    9,785.91x = 79,108,539.30
  5. Step 5: Solve for x
    x = 79,108,539.30/9,785.91
  6. Step 6: Final answer
    x = 8,083.92

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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.