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Finding the Fourth Proportional to 9,971.66, 14,954.76 and 2,949.58

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Solution

The fourth proportional to 9,971.66, 14,954.76 and 2,949.58 is: 4,423.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.66 : 14,954.76 = 2,949.58 : x
  2. Step 2: Convert to fraction form
    9,971.66/14,954.76 = 2,949.58/x
  3. Step 3: Cross multiply
    9,971.66x = 14,954.76 × 2,949.58
  4. Step 4: Simplify right side
    9,971.66x = 44,110,261.00
  5. Step 5: Solve for x
    x = 44,110,261.00/9,971.66
  6. Step 6: Final answer
    x = 4,423.56

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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.