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Finding the Fourth Proportional to 7,054.34, 9,781.47 and 6,820.16

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Solution

The fourth proportional to 7,054.34, 9,781.47 and 6,820.16 is: 9,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.34 : 9,781.47 = 6,820.16 : x
  2. Step 2: Convert to fraction form
    7,054.34/9,781.47 = 6,820.16/x
  3. Step 3: Cross multiply
    7,054.34x = 9,781.47 × 6,820.16
  4. Step 4: Simplify right side
    7,054.34x = 66,711,141.53
  5. Step 5: Solve for x
    x = 66,711,141.53/7,054.34
  6. Step 6: Final answer
    x = 9,456.76

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.