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Finding the Fourth Proportional to 9,565.20, 14,358.60 and 7,383.60

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Solution

The fourth proportional to 9,565.20, 14,358.60 and 7,383.60 is: 11,083.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.20 : 14,358.60 = 7,383.60 : x
  2. Step 2: Convert to fraction form
    9,565.20/14,358.60 = 7,383.60/x
  3. Step 3: Cross multiply
    9,565.20x = 14,358.60 × 7,383.60
  4. Step 4: Simplify right side
    9,565.20x = 106,018,158.96
  5. Step 5: Solve for x
    x = 106,018,158.96/9,565.20
  6. Step 6: Final answer
    x = 11,083.74

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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.