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Finding the Fourth Proportional to 6,564.43, 9,056.24 and 4,010.86

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Solution

The fourth proportional to 6,564.43, 9,056.24 and 4,010.86 is: 5,533.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.43 : 9,056.24 = 4,010.86 : x
  2. Step 2: Convert to fraction form
    6,564.43/9,056.24 = 4,010.86/x
  3. Step 3: Cross multiply
    6,564.43x = 9,056.24 × 4,010.86
  4. Step 4: Simplify right side
    6,564.43x = 36,323,290.71
  5. Step 5: Solve for x
    x = 36,323,290.71/6,564.43
  6. Step 6: Final answer
    x = 5,533.35

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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.