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Finding the Fourth Proportional to 9,884.70, 13,645.85 and 7,641.51

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Solution

The fourth proportional to 9,884.70, 13,645.85 and 7,641.51 is: 10,549.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.70 : 13,645.85 = 7,641.51 : x
  2. Step 2: Convert to fraction form
    9,884.70/13,645.85 = 7,641.51/x
  3. Step 3: Cross multiply
    9,884.70x = 13,645.85 × 7,641.51
  4. Step 4: Simplify right side
    9,884.70x = 104,274,899.23
  5. Step 5: Solve for x
    x = 104,274,899.23/9,884.70
  6. Step 6: Final answer
    x = 10,549.12

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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.