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Finding the Fourth Proportional to 9,855, 13,602.21 and 6,498.42

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Solution

The fourth proportional to 9,855, 13,602.21 and 6,498.42 is: 8,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855 : 13,602.21 = 6,498.42 : x
  2. Step 2: Convert to fraction form
    9,855/13,602.21 = 6,498.42/x
  3. Step 3: Cross multiply
    9,855x = 13,602.21 × 6,498.42
  4. Step 4: Simplify right side
    9,855x = 88,392,873.51
  5. Step 5: Solve for x
    x = 88,392,873.51/9,855
  6. Step 6: Final answer
    x = 8,969.34

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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.