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Finding the Fourth Proportional to 6,435.60, 9,643.80 and 5,456.40

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Solution

The fourth proportional to 6,435.60, 9,643.80 and 5,456.40 is: 8,176.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.60 : 9,643.80 = 5,456.40 : x
  2. Step 2: Convert to fraction form
    6,435.60/9,643.80 = 5,456.40/x
  3. Step 3: Cross multiply
    6,435.60x = 9,643.80 × 5,456.40
  4. Step 4: Simplify right side
    6,435.60x = 52,620,430.32
  5. Step 5: Solve for x
    x = 52,620,430.32/6,435.60
  6. Step 6: Final answer
    x = 8,176.46

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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.