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Finding the Fourth Proportional to 9,588.16, 14,463.25 and 9,083.98

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Solution

The fourth proportional to 9,588.16, 14,463.25 and 9,083.98 is: 13,702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.16 : 14,463.25 = 9,083.98 : x
  2. Step 2: Convert to fraction form
    9,588.16/14,463.25 = 9,083.98/x
  3. Step 3: Cross multiply
    9,588.16x = 14,463.25 × 9,083.98
  4. Step 4: Simplify right side
    9,588.16x = 131,383,873.74
  5. Step 5: Solve for x
    x = 131,383,873.74/9,588.16
  6. Step 6: Final answer
    x = 13,702.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.