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Finding the Fourth Proportional to 9,927.33, 13,698.69 and 5,948.34

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Solution

The fourth proportional to 9,927.33, 13,698.69 and 5,948.34 is: 8,208.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.33 : 13,698.69 = 5,948.34 : x
  2. Step 2: Convert to fraction form
    9,927.33/13,698.69 = 5,948.34/x
  3. Step 3: Cross multiply
    9,927.33x = 13,698.69 × 5,948.34
  4. Step 4: Simplify right side
    9,927.33x = 81,484,465.67
  5. Step 5: Solve for x
    x = 81,484,465.67/9,927.33
  6. Step 6: Final answer
    x = 8,208.09

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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.