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Finding the Fourth Proportional to 9,964.40, 14,941.06 and 4,621.74

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Solution

The fourth proportional to 9,964.40, 14,941.06 and 4,621.74 is: 6,930.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.40 : 14,941.06 = 4,621.74 : x
  2. Step 2: Convert to fraction form
    9,964.40/14,941.06 = 4,621.74/x
  3. Step 3: Cross multiply
    9,964.40x = 14,941.06 × 4,621.74
  4. Step 4: Simplify right side
    9,964.40x = 69,053,711.10
  5. Step 5: Solve for x
    x = 69,053,711.10/9,964.40
  6. Step 6: Final answer
    x = 6,930.04

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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.