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Finding the Fourth Proportional to 9,898.92, 14,850.82 and 4,559.60

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Solution

The fourth proportional to 9,898.92, 14,850.82 and 4,559.60 is: 6,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.92 : 14,850.82 = 4,559.60 : x
  2. Step 2: Convert to fraction form
    9,898.92/14,850.82 = 4,559.60/x
  3. Step 3: Cross multiply
    9,898.92x = 14,850.82 × 4,559.60
  4. Step 4: Simplify right side
    9,898.92x = 67,713,798.87
  5. Step 5: Solve for x
    x = 67,713,798.87/9,898.92
  6. Step 6: Final answer
    x = 6,840.52

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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.