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Finding the Fourth Proportional to 9,885.51, 13,641.62 and 5,695.11

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Solution

The fourth proportional to 9,885.51, 13,641.62 and 5,695.11 is: 7,859.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.51 : 13,641.62 = 5,695.11 : x
  2. Step 2: Convert to fraction form
    9,885.51/13,641.62 = 5,695.11/x
  3. Step 3: Cross multiply
    9,885.51x = 13,641.62 × 5,695.11
  4. Step 4: Simplify right side
    9,885.51x = 77,690,498.00
  5. Step 5: Solve for x
    x = 77,690,498.00/9,885.51
  6. Step 6: Final answer
    x = 7,859.03

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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.