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Finding the Fourth Proportional to 6,569.64, 9,840.02 and 4,724.33

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Solution

The fourth proportional to 6,569.64, 9,840.02 and 4,724.33 is: 7,076.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.64 : 9,840.02 = 4,724.33 : x
  2. Step 2: Convert to fraction form
    6,569.64/9,840.02 = 4,724.33/x
  3. Step 3: Cross multiply
    6,569.64x = 9,840.02 × 4,724.33
  4. Step 4: Simplify right side
    6,569.64x = 46,487,428.86
  5. Step 5: Solve for x
    x = 46,487,428.86/6,569.64
  6. Step 6: Final answer
    x = 7,076.10

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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.