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Finding the Fourth Proportional to 6,821.56, 9,411.06 and 4,584.88

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Solution

The fourth proportional to 6,821.56, 9,411.06 and 4,584.88 is: 6,325.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.56 : 9,411.06 = 4,584.88 : x
  2. Step 2: Convert to fraction form
    6,821.56/9,411.06 = 4,584.88/x
  3. Step 3: Cross multiply
    6,821.56x = 9,411.06 × 4,584.88
  4. Step 4: Simplify right side
    6,821.56x = 43,148,580.77
  5. Step 5: Solve for x
    x = 43,148,580.77/6,821.56
  6. Step 6: Final answer
    x = 6,325.32

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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.