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Finding the Fourth Proportional to 6,206.64, 8,565.40 and 4,442.48

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Solution

The fourth proportional to 6,206.64, 8,565.40 and 4,442.48 is: 6,130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.64 : 8,565.40 = 4,442.48 : x
  2. Step 2: Convert to fraction form
    6,206.64/8,565.40 = 4,442.48/x
  3. Step 3: Cross multiply
    6,206.64x = 8,565.40 × 4,442.48
  4. Step 4: Simplify right side
    6,206.64x = 38,051,618.19
  5. Step 5: Solve for x
    x = 38,051,618.19/6,206.64
  6. Step 6: Final answer
    x = 6,130.79

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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.