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Finding the Fourth Proportional to 6,521.04, 9,784.80 and 3,234

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Solution

The fourth proportional to 6,521.04, 9,784.80 and 3,234 is: 4,852.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.04 : 9,784.80 = 3,234 : x
  2. Step 2: Convert to fraction form
    6,521.04/9,784.80 = 3,234/x
  3. Step 3: Cross multiply
    6,521.04x = 9,784.80 × 3,234
  4. Step 4: Simplify right side
    6,521.04x = 31,644,043.20
  5. Step 5: Solve for x
    x = 31,644,043.20/6,521.04
  6. Step 6: Final answer
    x = 4,852.61

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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.