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Finding the Fourth Proportional to 9,619.83, 14,442.21 and 9,225

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Solution

The fourth proportional to 9,619.83, 14,442.21 and 9,225 is: 13,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.83 : 14,442.21 = 9,225 : x
  2. Step 2: Convert to fraction form
    9,619.83/14,442.21 = 9,225/x
  3. Step 3: Cross multiply
    9,619.83x = 14,442.21 × 9,225
  4. Step 4: Simplify right side
    9,619.83x = 133,229,387.25
  5. Step 5: Solve for x
    x = 133,229,387.25/9,619.83
  6. Step 6: Final answer
    x = 13,849.45

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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.