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Finding the Fourth Proportional to 9,732.73, 14,603.72 and 5,050.25

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Solution

The fourth proportional to 9,732.73, 14,603.72 and 5,050.25 is: 7,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.73 : 14,603.72 = 5,050.25 : x
  2. Step 2: Convert to fraction form
    9,732.73/14,603.72 = 5,050.25/x
  3. Step 3: Cross multiply
    9,732.73x = 14,603.72 × 5,050.25
  4. Step 4: Simplify right side
    9,732.73x = 73,752,407.63
  5. Step 5: Solve for x
    x = 73,752,407.63/9,732.73
  6. Step 6: Final answer
    x = 7,577.77

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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.