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Finding the Fourth Proportional to 6,427.60, 9,641.40 and 2,971.60

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Solution

The fourth proportional to 6,427.60, 9,641.40 and 2,971.60 is: 4,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.60 : 9,641.40 = 2,971.60 : x
  2. Step 2: Convert to fraction form
    6,427.60/9,641.40 = 2,971.60/x
  3. Step 3: Cross multiply
    6,427.60x = 9,641.40 × 2,971.60
  4. Step 4: Simplify right side
    6,427.60x = 28,650,384.24
  5. Step 5: Solve for x
    x = 28,650,384.24/6,427.60
  6. Step 6: Final answer
    x = 4,457.40

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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.