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Finding the Fourth Proportional to 9,511.73, 14,263.47 and 7,322.00

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Solution

The fourth proportional to 9,511.73, 14,263.47 and 7,322.00 is: 10,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.73 : 14,263.47 = 7,322.00 : x
  2. Step 2: Convert to fraction form
    9,511.73/14,263.47 = 7,322.00/x
  3. Step 3: Cross multiply
    9,511.73x = 14,263.47 × 7,322.00
  4. Step 4: Simplify right side
    9,511.73x = 104,437,056.02
  5. Step 5: Solve for x
    x = 104,437,056.02/9,511.73
  6. Step 6: Final answer
    x = 10,979.82

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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.