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Finding the Fourth Proportional to 9,860.04, 14,791.86 and 3,285.60

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Solution

The fourth proportional to 9,860.04, 14,791.86 and 3,285.60 is: 4,929.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.04 : 14,791.86 = 3,285.60 : x
  2. Step 2: Convert to fraction form
    9,860.04/14,791.86 = 3,285.60/x
  3. Step 3: Cross multiply
    9,860.04x = 14,791.86 × 3,285.60
  4. Step 4: Simplify right side
    9,860.04x = 48,600,135.22
  5. Step 5: Solve for x
    x = 48,600,135.22/9,860.04
  6. Step 6: Final answer
    x = 4,929.00

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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.