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Finding the Fourth Proportional to 9,881.36, 14,815.05 and 4,947.46

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Solution

The fourth proportional to 9,881.36, 14,815.05 and 4,947.46 is: 7,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.36 : 14,815.05 = 4,947.46 : x
  2. Step 2: Convert to fraction form
    9,881.36/14,815.05 = 4,947.46/x
  3. Step 3: Cross multiply
    9,881.36x = 14,815.05 × 4,947.46
  4. Step 4: Simplify right side
    9,881.36x = 73,296,867.27
  5. Step 5: Solve for x
    x = 73,296,867.27/9,881.36
  6. Step 6: Final answer
    x = 7,417.69

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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.