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Finding the Fourth Proportional to 9,564.66, 13,191.93 and 6,920.82

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Solution

The fourth proportional to 9,564.66, 13,191.93 and 6,920.82 is: 9,545.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.66 : 13,191.93 = 6,920.82 : x
  2. Step 2: Convert to fraction form
    9,564.66/13,191.93 = 6,920.82/x
  3. Step 3: Cross multiply
    9,564.66x = 13,191.93 × 6,920.82
  4. Step 4: Simplify right side
    9,564.66x = 91,298,972.98
  5. Step 5: Solve for x
    x = 91,298,972.98/9,564.66
  6. Step 6: Final answer
    x = 9,545.45

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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.