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Finding the Fourth Proportional to 6,570.46, 9,066.87 and 3,737.45

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Solution

The fourth proportional to 6,570.46, 9,066.87 and 3,737.45 is: 5,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.46 : 9,066.87 = 3,737.45 : x
  2. Step 2: Convert to fraction form
    6,570.46/9,066.87 = 3,737.45/x
  3. Step 3: Cross multiply
    6,570.46x = 9,066.87 × 3,737.45
  4. Step 4: Simplify right side
    6,570.46x = 33,886,973.28
  5. Step 5: Solve for x
    x = 33,886,973.28/6,570.46
  6. Step 6: Final answer
    x = 5,157.47

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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.