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Finding the Fourth Proportional to 7,065.06, 9,742.74 and 6,001.68

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Solution

The fourth proportional to 7,065.06, 9,742.74 and 6,001.68 is: 8,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.06 : 9,742.74 = 6,001.68 : x
  2. Step 2: Convert to fraction form
    7,065.06/9,742.74 = 6,001.68/x
  3. Step 3: Cross multiply
    7,065.06x = 9,742.74 × 6,001.68
  4. Step 4: Simplify right side
    7,065.06x = 58,472,807.80
  5. Step 5: Solve for x
    x = 58,472,807.80/7,065.06
  6. Step 6: Final answer
    x = 8,276.34

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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.