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Finding the Fourth Proportional to 6,875.80, 9,475.00 and 4,880.77

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Solution

The fourth proportional to 6,875.80, 9,475.00 and 4,880.77 is: 6,725.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.80 : 9,475.00 = 4,880.77 : x
  2. Step 2: Convert to fraction form
    6,875.80/9,475.00 = 4,880.77/x
  3. Step 3: Cross multiply
    6,875.80x = 9,475.00 × 4,880.77
  4. Step 4: Simplify right side
    6,875.80x = 46,245,326.88
  5. Step 5: Solve for x
    x = 46,245,326.88/6,875.80
  6. Step 6: Final answer
    x = 6,725.81

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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.