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Finding the Fourth Proportional to 6,553.96, 9,783.43 and 6,066.16

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Solution

The fourth proportional to 6,553.96, 9,783.43 and 6,066.16 is: 9,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.96 : 9,783.43 = 6,066.16 : x
  2. Step 2: Convert to fraction form
    6,553.96/9,783.43 = 6,066.16/x
  3. Step 3: Cross multiply
    6,553.96x = 9,783.43 × 6,066.16
  4. Step 4: Simplify right side
    6,553.96x = 59,347,851.73
  5. Step 5: Solve for x
    x = 59,347,851.73/6,553.96
  6. Step 6: Final answer
    x = 9,055.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.