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Finding the Fourth Proportional to 9,085.76, 13,631 and 4,153.04

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Solution

The fourth proportional to 9,085.76, 13,631 and 4,153.04 is: 6,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.76 : 13,631 = 4,153.04 : x
  2. Step 2: Convert to fraction form
    9,085.76/13,631 = 4,153.04/x
  3. Step 3: Cross multiply
    9,085.76x = 13,631 × 4,153.04
  4. Step 4: Simplify right side
    9,085.76x = 56,610,088.24
  5. Step 5: Solve for x
    x = 56,610,088.24/9,085.76
  6. Step 6: Final answer
    x = 6,230.64

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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.