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Finding the Fourth Proportional to 9,848.50, 13,591.05 and 5,657.14

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Solution

The fourth proportional to 9,848.50, 13,591.05 and 5,657.14 is: 7,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.50 : 13,591.05 = 5,657.14 : x
  2. Step 2: Convert to fraction form
    9,848.50/13,591.05 = 5,657.14/x
  3. Step 3: Cross multiply
    9,848.50x = 13,591.05 × 5,657.14
  4. Step 4: Simplify right side
    9,848.50x = 76,886,472.60
  5. Step 5: Solve for x
    x = 76,886,472.60/9,848.50
  6. Step 6: Final answer
    x = 7,806.92

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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.