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Finding the Fourth Proportional to 6,784.12, 9,356.82 and 4,545.28

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Solution

The fourth proportional to 6,784.12, 9,356.82 and 4,545.28 is: 6,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.12 : 9,356.82 = 4,545.28 : x
  2. Step 2: Convert to fraction form
    6,784.12/9,356.82 = 4,545.28/x
  3. Step 3: Cross multiply
    6,784.12x = 9,356.82 × 4,545.28
  4. Step 4: Simplify right side
    6,784.12x = 42,529,366.81
  5. Step 5: Solve for x
    x = 42,529,366.81/6,784.12
  6. Step 6: Final answer
    x = 6,268.96

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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.