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Finding the Fourth Proportional to 9,130.60, 13,682.46 and 6,820.84

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Solution

The fourth proportional to 9,130.60, 13,682.46 and 6,820.84 is: 10,221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.60 : 13,682.46 = 6,820.84 : x
  2. Step 2: Convert to fraction form
    9,130.60/13,682.46 = 6,820.84/x
  3. Step 3: Cross multiply
    9,130.60x = 13,682.46 × 6,820.84
  4. Step 4: Simplify right side
    9,130.60x = 93,325,870.47
  5. Step 5: Solve for x
    x = 93,325,870.47/9,130.60
  6. Step 6: Final answer
    x = 10,221.22

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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.