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Finding the Fourth Proportional to 9,755.51, 13,458.98 and 6,400.19

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Solution

The fourth proportional to 9,755.51, 13,458.98 and 6,400.19 is: 8,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.51 : 13,458.98 = 6,400.19 : x
  2. Step 2: Convert to fraction form
    9,755.51/13,458.98 = 6,400.19/x
  3. Step 3: Cross multiply
    9,755.51x = 13,458.98 × 6,400.19
  4. Step 4: Simplify right side
    9,755.51x = 86,140,029.21
  5. Step 5: Solve for x
    x = 86,140,029.21/9,755.51
  6. Step 6: Final answer
    x = 8,829.88

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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.