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Finding the Fourth Proportional to 6,281.20, 8,646.31 and 5,430.06

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Solution

The fourth proportional to 6,281.20, 8,646.31 and 5,430.06 is: 7,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.20 : 8,646.31 = 5,430.06 : x
  2. Step 2: Convert to fraction form
    6,281.20/8,646.31 = 5,430.06/x
  3. Step 3: Cross multiply
    6,281.20x = 8,646.31 × 5,430.06
  4. Step 4: Simplify right side
    6,281.20x = 46,949,988.87
  5. Step 5: Solve for x
    x = 46,949,988.87/6,281.20
  6. Step 6: Final answer
    x = 7,474.68

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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.