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Finding the Fourth Proportional to 6,949.74, 9,585.06 and 6,153.84

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Solution

The fourth proportional to 6,949.74, 9,585.06 and 6,153.84 is: 8,487.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.74 : 9,585.06 = 6,153.84 : x
  2. Step 2: Convert to fraction form
    6,949.74/9,585.06 = 6,153.84/x
  3. Step 3: Cross multiply
    6,949.74x = 9,585.06 × 6,153.84
  4. Step 4: Simplify right side
    6,949.74x = 58,984,925.63
  5. Step 5: Solve for x
    x = 58,984,925.63/6,949.74
  6. Step 6: Final answer
    x = 8,487.36

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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.