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Finding the Fourth Proportional to 9,568.70, 13,201.10 and 7,056.76

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Solution

The fourth proportional to 9,568.70, 13,201.10 and 7,056.76 is: 9,735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.70 : 13,201.10 = 7,056.76 : x
  2. Step 2: Convert to fraction form
    9,568.70/13,201.10 = 7,056.76/x
  3. Step 3: Cross multiply
    9,568.70x = 13,201.10 × 7,056.76
  4. Step 4: Simplify right side
    9,568.70x = 93,156,994.44
  5. Step 5: Solve for x
    x = 93,156,994.44/9,568.70
  6. Step 6: Final answer
    x = 9,735.60

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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.