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Finding the Fourth Proportional to 9,730.11, 13,451.41 and 9,641.26

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Solution

The fourth proportional to 9,730.11, 13,451.41 and 9,641.26 is: 13,328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.11 : 13,451.41 = 9,641.26 : x
  2. Step 2: Convert to fraction form
    9,730.11/13,451.41 = 9,641.26/x
  3. Step 3: Cross multiply
    9,730.11x = 13,451.41 × 9,641.26
  4. Step 4: Simplify right side
    9,730.11x = 129,688,519.60
  5. Step 5: Solve for x
    x = 129,688,519.60/9,730.11
  6. Step 6: Final answer
    x = 13,328.58

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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.