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Finding the Fourth Proportional to 6,804, 9,385.88 and 4,562.02

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Solution

The fourth proportional to 6,804, 9,385.88 and 4,562.02 is: 6,293.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804 : 9,385.88 = 4,562.02 : x
  2. Step 2: Convert to fraction form
    6,804/9,385.88 = 4,562.02/x
  3. Step 3: Cross multiply
    6,804x = 9,385.88 × 4,562.02
  4. Step 4: Simplify right side
    6,804x = 42,818,561.20
  5. Step 5: Solve for x
    x = 42,818,561.20/6,804
  6. Step 6: Final answer
    x = 6,293.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.