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Finding the Fourth Proportional to 9,932.94, 13,705.95 and 5,683.32

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Solution

The fourth proportional to 9,932.94, 13,705.95 and 5,683.32 is: 7,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.94 : 13,705.95 = 5,683.32 : x
  2. Step 2: Convert to fraction form
    9,932.94/13,705.95 = 5,683.32/x
  3. Step 3: Cross multiply
    9,932.94x = 13,705.95 × 5,683.32
  4. Step 4: Simplify right side
    9,932.94x = 77,895,299.75
  5. Step 5: Solve for x
    x = 77,895,299.75/9,932.94
  6. Step 6: Final answer
    x = 7,842.12

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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.