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Finding the Fourth Proportional to 9,568.41, 13,200.64 and 7,056.46

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Solution

The fourth proportional to 9,568.41, 13,200.64 and 7,056.46 is: 9,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.41 : 13,200.64 = 7,056.46 : x
  2. Step 2: Convert to fraction form
    9,568.41/13,200.64 = 7,056.46/x
  3. Step 3: Cross multiply
    9,568.41x = 13,200.64 × 7,056.46
  4. Step 4: Simplify right side
    9,568.41x = 93,149,788.13
  5. Step 5: Solve for x
    x = 93,149,788.13/9,568.41
  6. Step 6: Final answer
    x = 9,735.14

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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.