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Finding the Fourth Proportional to 6,816.32, 9,409.71 and 4,579.77

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Solution

The fourth proportional to 6,816.32, 9,409.71 and 4,579.77 is: 6,322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.32 : 9,409.71 = 4,579.77 : x
  2. Step 2: Convert to fraction form
    6,816.32/9,409.71 = 4,579.77/x
  3. Step 3: Cross multiply
    6,816.32x = 9,409.71 × 4,579.77
  4. Step 4: Simplify right side
    6,816.32x = 43,094,307.57
  5. Step 5: Solve for x
    x = 43,094,307.57/6,816.32
  6. Step 6: Final answer
    x = 6,322.23

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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.