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Finding the Fourth Proportional to 6,891, 9,509.58 and 4,096.50

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Solution

The fourth proportional to 6,891, 9,509.58 and 4,096.50 is: 5,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891 : 9,509.58 = 4,096.50 : x
  2. Step 2: Convert to fraction form
    6,891/9,509.58 = 4,096.50/x
  3. Step 3: Cross multiply
    6,891x = 9,509.58 × 4,096.50
  4. Step 4: Simplify right side
    6,891x = 38,955,994.47
  5. Step 5: Solve for x
    x = 38,955,994.47/6,891
  6. Step 6: Final answer
    x = 5,653.17

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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.