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Finding the Fourth Proportional to 6,565.43, 9,064.86 and 5,312.05

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Solution

The fourth proportional to 6,565.43, 9,064.86 and 5,312.05 is: 7,334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.43 : 9,064.86 = 5,312.05 : x
  2. Step 2: Convert to fraction form
    6,565.43/9,064.86 = 5,312.05/x
  3. Step 3: Cross multiply
    6,565.43x = 9,064.86 × 5,312.05
  4. Step 4: Simplify right side
    6,565.43x = 48,152,989.56
  5. Step 5: Solve for x
    x = 48,152,989.56/6,565.43
  6. Step 6: Final answer
    x = 7,334.32

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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.