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Finding the Fourth Proportional to 9,890.54, 14,832.75 and 3,315.20

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Solution

The fourth proportional to 9,890.54, 14,832.75 and 3,315.20 is: 4,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.54 : 14,832.75 = 3,315.20 : x
  2. Step 2: Convert to fraction form
    9,890.54/14,832.75 = 3,315.20/x
  3. Step 3: Cross multiply
    9,890.54x = 14,832.75 × 3,315.20
  4. Step 4: Simplify right side
    9,890.54x = 49,173,471.07
  5. Step 5: Solve for x
    x = 49,173,471.07/9,890.54
  6. Step 6: Final answer
    x = 4,971.77

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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.