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Finding the Fourth Proportional to 9,812.13, 14,691.21 and 6,853.53

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Solution

The fourth proportional to 9,812.13, 14,691.21 and 6,853.53 is: 10,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.13 : 14,691.21 = 6,853.53 : x
  2. Step 2: Convert to fraction form
    9,812.13/14,691.21 = 6,853.53/x
  3. Step 3: Cross multiply
    9,812.13x = 14,691.21 × 6,853.53
  4. Step 4: Simplify right side
    9,812.13x = 100,686,648.47
  5. Step 5: Solve for x
    x = 100,686,648.47/9,812.13
  6. Step 6: Final answer
    x = 10,261.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.