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Finding the Fourth Proportional to 9,298.44, 13,947.80 and 9,284.76

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Solution

The fourth proportional to 9,298.44, 13,947.80 and 9,284.76 is: 13,927.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.44 : 13,947.80 = 9,284.76 : x
  2. Step 2: Convert to fraction form
    9,298.44/13,947.80 = 9,284.76/x
  3. Step 3: Cross multiply
    9,298.44x = 13,947.80 × 9,284.76
  4. Step 4: Simplify right side
    9,298.44x = 129,501,929.10
  5. Step 5: Solve for x
    x = 129,501,929.10/9,298.44
  6. Step 6: Final answer
    x = 13,927.27

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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.