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Finding the Fourth Proportional to 6,417.59, 9,621.31 and 4,210.18

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Solution

The fourth proportional to 6,417.59, 9,621.31 and 4,210.18 is: 6,311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.59 : 9,621.31 = 4,210.18 : x
  2. Step 2: Convert to fraction form
    6,417.59/9,621.31 = 4,210.18/x
  3. Step 3: Cross multiply
    6,417.59x = 9,621.31 × 4,210.18
  4. Step 4: Simplify right side
    6,417.59x = 40,507,408.41
  5. Step 5: Solve for x
    x = 40,507,408.41/6,417.59
  6. Step 6: Final answer
    x = 6,311.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.