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Finding the Fourth Proportional to 6,565.62, 9,054.45 and 5,071.30

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Solution

The fourth proportional to 6,565.62, 9,054.45 and 5,071.30 is: 6,993.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.62 : 9,054.45 = 5,071.30 : x
  2. Step 2: Convert to fraction form
    6,565.62/9,054.45 = 5,071.30/x
  3. Step 3: Cross multiply
    6,565.62x = 9,054.45 × 5,071.30
  4. Step 4: Simplify right side
    6,565.62x = 45,917,832.29
  5. Step 5: Solve for x
    x = 45,917,832.29/6,565.62
  6. Step 6: Final answer
    x = 6,993.68

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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.