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Finding the Fourth Proportional to 9,740.88, 13,441.10 and 5,491.62

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Solution

The fourth proportional to 9,740.88, 13,441.10 and 5,491.62 is: 7,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.88 : 13,441.10 = 5,491.62 : x
  2. Step 2: Convert to fraction form
    9,740.88/13,441.10 = 5,491.62/x
  3. Step 3: Cross multiply
    9,740.88x = 13,441.10 × 5,491.62
  4. Step 4: Simplify right side
    9,740.88x = 73,813,386.12
  5. Step 5: Solve for x
    x = 73,813,386.12/9,740.88
  6. Step 6: Final answer
    x = 7,577.69

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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.