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Finding the Fourth Proportional to 9,954.33, 13,733.57 and 5,646.95

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Solution

The fourth proportional to 9,954.33, 13,733.57 and 5,646.95 is: 7,790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.33 : 13,733.57 = 5,646.95 : x
  2. Step 2: Convert to fraction form
    9,954.33/13,733.57 = 5,646.95/x
  3. Step 3: Cross multiply
    9,954.33x = 13,733.57 × 5,646.95
  4. Step 4: Simplify right side
    9,954.33x = 77,552,686.21
  5. Step 5: Solve for x
    x = 77,552,686.21/9,954.33
  6. Step 6: Final answer
    x = 7,790.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.