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Finding the Fourth Proportional to 9,017.82, 12,462.57 and 7,705.62

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Solution

The fourth proportional to 9,017.82, 12,462.57 and 7,705.62 is: 10,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,017.82 : 12,462.57 = 7,705.62 : x
  2. Step 2: Convert to fraction form
    9,017.82/12,462.57 = 7,705.62/x
  3. Step 3: Cross multiply
    9,017.82x = 12,462.57 × 7,705.62
  4. Step 4: Simplify right side
    9,017.82x = 96,031,828.64
  5. Step 5: Solve for x
    x = 96,031,828.64/9,017.82
  6. Step 6: Final answer
    x = 10,649.12

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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.