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Finding the Fourth Proportional to 9,157.34, 13,716.57 and 6,197.60

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Solution

The fourth proportional to 9,157.34, 13,716.57 and 6,197.60 is: 9,283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.34 : 13,716.57 = 6,197.60 : x
  2. Step 2: Convert to fraction form
    9,157.34/13,716.57 = 6,197.60/x
  3. Step 3: Cross multiply
    9,157.34x = 13,716.57 × 6,197.60
  4. Step 4: Simplify right side
    9,157.34x = 85,009,871.76
  5. Step 5: Solve for x
    x = 85,009,871.76/9,157.34
  6. Step 6: Final answer
    x = 9,283.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.