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Finding the Fourth Proportional to 6,430.14, 8,873.55 and 3,635.70

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Solution

The fourth proportional to 6,430.14, 8,873.55 and 3,635.70 is: 5,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.14 : 8,873.55 = 3,635.70 : x
  2. Step 2: Convert to fraction form
    6,430.14/8,873.55 = 3,635.70/x
  3. Step 3: Cross multiply
    6,430.14x = 8,873.55 × 3,635.70
  4. Step 4: Simplify right side
    6,430.14x = 32,261,565.74
  5. Step 5: Solve for x
    x = 32,261,565.74/6,430.14
  6. Step 6: Final answer
    x = 5,017.24

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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.