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Finding the Fourth Proportional to 9,358.40, 14,023.20 and 7,889.60

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Solution

The fourth proportional to 9,358.40, 14,023.20 and 7,889.60 is: 11,822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.40 : 14,023.20 = 7,889.60 : x
  2. Step 2: Convert to fraction form
    9,358.40/14,023.20 = 7,889.60/x
  3. Step 3: Cross multiply
    9,358.40x = 14,023.20 × 7,889.60
  4. Step 4: Simplify right side
    9,358.40x = 110,637,438.72
  5. Step 5: Solve for x
    x = 110,637,438.72/9,358.40
  6. Step 6: Final answer
    x = 11,822.26

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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.