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Finding the Fourth Proportional to 9,730.22, 13,398.26 and 8,155.58

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Solution

The fourth proportional to 9,730.22, 13,398.26 and 8,155.58 is: 11,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.22 : 13,398.26 = 8,155.58 : x
  2. Step 2: Convert to fraction form
    9,730.22/13,398.26 = 8,155.58/x
  3. Step 3: Cross multiply
    9,730.22x = 13,398.26 × 8,155.58
  4. Step 4: Simplify right side
    9,730.22x = 109,270,581.29
  5. Step 5: Solve for x
    x = 109,270,581.29/9,730.22
  6. Step 6: Final answer
    x = 11,230.02

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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.