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Finding the Fourth Proportional to 6,557.94, 9,821.50 and 5,702.72

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Solution

The fourth proportional to 6,557.94, 9,821.50 and 5,702.72 is: 8,540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.94 : 9,821.50 = 5,702.72 : x
  2. Step 2: Convert to fraction form
    6,557.94/9,821.50 = 5,702.72/x
  3. Step 3: Cross multiply
    6,557.94x = 9,821.50 × 5,702.72
  4. Step 4: Simplify right side
    6,557.94x = 56,009,264.48
  5. Step 5: Solve for x
    x = 56,009,264.48/6,557.94
  6. Step 6: Final answer
    x = 8,540.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.