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Finding the Fourth Proportional to 9,874.80, 14,820.60 and 4,035.60

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Solution

The fourth proportional to 9,874.80, 14,820.60 and 4,035.60 is: 6,056.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.80 : 14,820.60 = 4,035.60 : x
  2. Step 2: Convert to fraction form
    9,874.80/14,820.60 = 4,035.60/x
  3. Step 3: Cross multiply
    9,874.80x = 14,820.60 × 4,035.60
  4. Step 4: Simplify right side
    9,874.80x = 59,810,013.36
  5. Step 5: Solve for x
    x = 59,810,013.36/9,874.80
  6. Step 6: Final answer
    x = 6,056.83

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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.