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Finding the Fourth Proportional to 6,817.47, 9,410.04 and 3,985.50

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Solution

The fourth proportional to 6,817.47, 9,410.04 and 3,985.50 is: 5,501.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.47 : 9,410.04 = 3,985.50 : x
  2. Step 2: Convert to fraction form
    6,817.47/9,410.04 = 3,985.50/x
  3. Step 3: Cross multiply
    6,817.47x = 9,410.04 × 3,985.50
  4. Step 4: Simplify right side
    6,817.47x = 37,503,714.42
  5. Step 5: Solve for x
    x = 37,503,714.42/6,817.47
  6. Step 6: Final answer
    x = 5,501.12

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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.