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Finding the Fourth Proportional to 9,924.84, 13,705.56 and 6,394.20

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Solution

The fourth proportional to 9,924.84, 13,705.56 and 6,394.20 is: 8,829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.84 : 13,705.56 = 6,394.20 : x
  2. Step 2: Convert to fraction form
    9,924.84/13,705.56 = 6,394.20/x
  3. Step 3: Cross multiply
    9,924.84x = 13,705.56 × 6,394.20
  4. Step 4: Simplify right side
    9,924.84x = 87,636,091.75
  5. Step 5: Solve for x
    x = 87,636,091.75/9,924.84
  6. Step 6: Final answer
    x = 8,829.98

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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.