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Finding the Fourth Proportional to 9,417.82, 13,001.43 and 6,635.74

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Solution

The fourth proportional to 9,417.82, 13,001.43 and 6,635.74 is: 9,160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.82 : 13,001.43 = 6,635.74 : x
  2. Step 2: Convert to fraction form
    9,417.82/13,001.43 = 6,635.74/x
  3. Step 3: Cross multiply
    9,417.82x = 13,001.43 × 6,635.74
  4. Step 4: Simplify right side
    9,417.82x = 86,274,109.11
  5. Step 5: Solve for x
    x = 86,274,109.11/9,417.82
  6. Step 6: Final answer
    x = 9,160.73

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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.