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Finding the Fourth Proportional to 9,564.28, 13,211.18 and 7,353.34

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Solution

The fourth proportional to 9,564.28, 13,211.18 and 7,353.34 is: 10,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.28 : 13,211.18 = 7,353.34 : x
  2. Step 2: Convert to fraction form
    9,564.28/13,211.18 = 7,353.34/x
  3. Step 3: Cross multiply
    9,564.28x = 13,211.18 × 7,353.34
  4. Step 4: Simplify right side
    9,564.28x = 97,146,261.57
  5. Step 5: Solve for x
    x = 97,146,261.57/9,564.28
  6. Step 6: Final answer
    x = 10,157.20

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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.