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Finding the Fourth Proportional to 9,926.40, 13,695.36 and 5,733.12

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Solution

The fourth proportional to 9,926.40, 13,695.36 and 5,733.12 is: 7,909.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.40 : 13,695.36 = 5,733.12 : x
  2. Step 2: Convert to fraction form
    9,926.40/13,695.36 = 5,733.12/x
  3. Step 3: Cross multiply
    9,926.40x = 13,695.36 × 5,733.12
  4. Step 4: Simplify right side
    9,926.40x = 78,517,142.32
  5. Step 5: Solve for x
    x = 78,517,142.32/9,926.40
  6. Step 6: Final answer
    x = 7,909.93

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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.