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Finding the Fourth Proportional to 9,746.10, 13,441.41 and 7,505.46

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Solution

The fourth proportional to 9,746.10, 13,441.41 and 7,505.46 is: 10,351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.10 : 13,441.41 = 7,505.46 : x
  2. Step 2: Convert to fraction form
    9,746.10/13,441.41 = 7,505.46/x
  3. Step 3: Cross multiply
    9,746.10x = 13,441.41 × 7,505.46
  4. Step 4: Simplify right side
    9,746.10x = 100,883,965.10
  5. Step 5: Solve for x
    x = 100,883,965.10/9,746.10
  6. Step 6: Final answer
    x = 10,351.21

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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.