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Finding the Fourth Proportional to 6,565.56, 9,056.27 and 4,012.13

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Solution

The fourth proportional to 6,565.56, 9,056.27 and 4,012.13 is: 5,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.56 : 9,056.27 = 4,012.13 : x
  2. Step 2: Convert to fraction form
    6,565.56/9,056.27 = 4,012.13/x
  3. Step 3: Cross multiply
    6,565.56x = 9,056.27 × 4,012.13
  4. Step 4: Simplify right side
    6,565.56x = 36,334,867.21
  5. Step 5: Solve for x
    x = 36,334,867.21/6,565.56
  6. Step 6: Final answer
    x = 5,534.16

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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.