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Finding the Fourth Proportional to 6,602.13, 9,107.88 and 5,846.68

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Solution

The fourth proportional to 6,602.13, 9,107.88 and 5,846.68 is: 8,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.13 : 9,107.88 = 5,846.68 : x
  2. Step 2: Convert to fraction form
    6,602.13/9,107.88 = 5,846.68/x
  3. Step 3: Cross multiply
    6,602.13x = 9,107.88 × 5,846.68
  4. Step 4: Simplify right side
    6,602.13x = 53,250,785.07
  5. Step 5: Solve for x
    x = 53,250,785.07/6,602.13
  6. Step 6: Final answer
    x = 8,065.70

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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.