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Finding the Fourth Proportional to 9,314.73, 12,853.56 and 5,485.77

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Solution

The fourth proportional to 9,314.73, 12,853.56 and 5,485.77 is: 7,569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.73 : 12,853.56 = 5,485.77 : x
  2. Step 2: Convert to fraction form
    9,314.73/12,853.56 = 5,485.77/x
  3. Step 3: Cross multiply
    9,314.73x = 12,853.56 × 5,485.77
  4. Step 4: Simplify right side
    9,314.73x = 70,511,673.84
  5. Step 5: Solve for x
    x = 70,511,673.84/9,314.73
  6. Step 6: Final answer
    x = 7,569.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.