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Finding the Fourth Proportional to 6,565.60, 9,055.40 and 4,207.96

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Solution

The fourth proportional to 6,565.60, 9,055.40 and 4,207.96 is: 5,803.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.60 : 9,055.40 = 4,207.96 : x
  2. Step 2: Convert to fraction form
    6,565.60/9,055.40 = 4,207.96/x
  3. Step 3: Cross multiply
    6,565.60x = 9,055.40 × 4,207.96
  4. Step 4: Simplify right side
    6,565.60x = 38,104,760.98
  5. Step 5: Solve for x
    x = 38,104,760.98/6,565.60
  6. Step 6: Final answer
    x = 5,803.70

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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.