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Finding the Fourth Proportional to 6,276.40, 9,417.84 and 3,355.60

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Solution

The fourth proportional to 6,276.40, 9,417.84 and 3,355.60 is: 5,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.40 : 9,417.84 = 3,355.60 : x
  2. Step 2: Convert to fraction form
    6,276.40/9,417.84 = 3,355.60/x
  3. Step 3: Cross multiply
    6,276.40x = 9,417.84 × 3,355.60
  4. Step 4: Simplify right side
    6,276.40x = 31,602,503.90
  5. Step 5: Solve for x
    x = 31,602,503.90/6,276.40
  6. Step 6: Final answer
    x = 5,035.13

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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.