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Finding the Fourth Proportional to 9,967.01, 14,950.14 and 2,470.59

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Solution

The fourth proportional to 9,967.01, 14,950.14 and 2,470.59 is: 3,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.01 : 14,950.14 = 2,470.59 : x
  2. Step 2: Convert to fraction form
    9,967.01/14,950.14 = 2,470.59/x
  3. Step 3: Cross multiply
    9,967.01x = 14,950.14 × 2,470.59
  4. Step 4: Simplify right side
    9,967.01x = 36,935,601.05
  5. Step 5: Solve for x
    x = 36,935,601.05/9,967.01
  6. Step 6: Final answer
    x = 3,705.79

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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.