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Finding the Fourth Proportional to 9,882.10, 14,823.35 and 3,642.67

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Solution

The fourth proportional to 9,882.10, 14,823.35 and 3,642.67 is: 5,464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.10 : 14,823.35 = 3,642.67 : x
  2. Step 2: Convert to fraction form
    9,882.10/14,823.35 = 3,642.67/x
  3. Step 3: Cross multiply
    9,882.10x = 14,823.35 × 3,642.67
  4. Step 4: Simplify right side
    9,882.10x = 53,996,480.01
  5. Step 5: Solve for x
    x = 53,996,480.01/9,882.10
  6. Step 6: Final answer
    x = 5,464.07

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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.