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Finding the Fourth Proportional to 9,499, 14,248.56 and 2,573.56

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Solution

The fourth proportional to 9,499, 14,248.56 and 2,573.56 is: 3,860.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499 : 14,248.56 = 2,573.56 : x
  2. Step 2: Convert to fraction form
    9,499/14,248.56 = 2,573.56/x
  3. Step 3: Cross multiply
    9,499x = 14,248.56 × 2,573.56
  4. Step 4: Simplify right side
    9,499x = 36,669,524.07
  5. Step 5: Solve for x
    x = 36,669,524.07/9,499
  6. Step 6: Final answer
    x = 3,860.36

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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.