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Finding the Fourth Proportional to 9,143.82, 13,718.16 and 2,904

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Solution

The fourth proportional to 9,143.82, 13,718.16 and 2,904 is: 4,356.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.82 : 13,718.16 = 2,904 : x
  2. Step 2: Convert to fraction form
    9,143.82/13,718.16 = 2,904/x
  3. Step 3: Cross multiply
    9,143.82x = 13,718.16 × 2,904
  4. Step 4: Simplify right side
    9,143.82x = 39,837,536.64
  5. Step 5: Solve for x
    x = 39,837,536.64/9,143.82
  6. Step 6: Final answer
    x = 4,356.77

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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.