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Finding the Fourth Proportional to 9,938.88, 14,909.24 and 2,823.12

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Solution

The fourth proportional to 9,938.88, 14,909.24 and 2,823.12 is: 4,234.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.88 : 14,909.24 = 2,823.12 : x
  2. Step 2: Convert to fraction form
    9,938.88/14,909.24 = 2,823.12/x
  3. Step 3: Cross multiply
    9,938.88x = 14,909.24 × 2,823.12
  4. Step 4: Simplify right side
    9,938.88x = 42,090,573.63
  5. Step 5: Solve for x
    x = 42,090,573.63/9,938.88
  6. Step 6: Final answer
    x = 4,234.94

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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.