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Finding the Fourth Proportional to 6,804.88, 9,385.62 and 4,569.28

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Solution

The fourth proportional to 6,804.88, 9,385.62 and 4,569.28 is: 6,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.88 : 9,385.62 = 4,569.28 : x
  2. Step 2: Convert to fraction form
    6,804.88/9,385.62 = 4,569.28/x
  3. Step 3: Cross multiply
    6,804.88x = 9,385.62 × 4,569.28
  4. Step 4: Simplify right side
    6,804.88x = 42,885,525.75
  5. Step 5: Solve for x
    x = 42,885,525.75/6,804.88
  6. Step 6: Final answer
    x = 6,302.17

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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.