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Finding the Fourth Proportional to 9,970.20, 14,954.76 and 3,044.70

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Solution

The fourth proportional to 9,970.20, 14,954.76 and 3,044.70 is: 4,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.20 : 14,954.76 = 3,044.70 : x
  2. Step 2: Convert to fraction form
    9,970.20/14,954.76 = 3,044.70/x
  3. Step 3: Cross multiply
    9,970.20x = 14,954.76 × 3,044.70
  4. Step 4: Simplify right side
    9,970.20x = 45,532,757.77
  5. Step 5: Solve for x
    x = 45,532,757.77/9,970.20
  6. Step 6: Final answer
    x = 4,566.89

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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.