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Finding the Fourth Proportional to 9,131.88, 13,694.58 and 3,585

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Solution

The fourth proportional to 9,131.88, 13,694.58 and 3,585 is: 5,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.88 : 13,694.58 = 3,585 : x
  2. Step 2: Convert to fraction form
    9,131.88/13,694.58 = 3,585/x
  3. Step 3: Cross multiply
    9,131.88x = 13,694.58 × 3,585
  4. Step 4: Simplify right side
    9,131.88x = 49,095,069.30
  5. Step 5: Solve for x
    x = 49,095,069.30/9,131.88
  6. Step 6: Final answer
    x = 5,376.23

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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.