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Finding the Fourth Proportional to 6,565.68, 9,056.76 and 4,206.96

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Solution

The fourth proportional to 6,565.68, 9,056.76 and 4,206.96 is: 5,803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.68 : 9,056.76 = 4,206.96 : x
  2. Step 2: Convert to fraction form
    6,565.68/9,056.76 = 4,206.96/x
  3. Step 3: Cross multiply
    6,565.68x = 9,056.76 × 4,206.96
  4. Step 4: Simplify right side
    6,565.68x = 38,101,427.05
  5. Step 5: Solve for x
    x = 38,101,427.05/6,565.68
  6. Step 6: Final answer
    x = 5,803.12

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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.