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Finding the Fourth Proportional to 9,095.76, 13,643.64 and 3,254.04

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Solution

The fourth proportional to 9,095.76, 13,643.64 and 3,254.04 is: 4,881.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.76 : 13,643.64 = 3,254.04 : x
  2. Step 2: Convert to fraction form
    9,095.76/13,643.64 = 3,254.04/x
  3. Step 3: Cross multiply
    9,095.76x = 13,643.64 × 3,254.04
  4. Step 4: Simplify right side
    9,095.76x = 44,396,950.31
  5. Step 5: Solve for x
    x = 44,396,950.31/9,095.76
  6. Step 6: Final answer
    x = 4,881.06

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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.