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Finding the Fourth Proportional to 9,685.56, 13,363.02 and 5,705.40

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Solution

The fourth proportional to 9,685.56, 13,363.02 and 5,705.40 is: 7,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.56 : 13,363.02 = 5,705.40 : x
  2. Step 2: Convert to fraction form
    9,685.56/13,363.02 = 5,705.40/x
  3. Step 3: Cross multiply
    9,685.56x = 13,363.02 × 5,705.40
  4. Step 4: Simplify right side
    9,685.56x = 76,241,374.31
  5. Step 5: Solve for x
    x = 76,241,374.31/9,685.56
  6. Step 6: Final answer
    x = 7,871.65

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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.