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Finding the Fourth Proportional to 6,430.40, 9,645.60 and 4,212.80

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Solution

The fourth proportional to 6,430.40, 9,645.60 and 4,212.80 is: 6,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.40 : 9,645.60 = 4,212.80 : x
  2. Step 2: Convert to fraction form
    6,430.40/9,645.60 = 4,212.80/x
  3. Step 3: Cross multiply
    6,430.40x = 9,645.60 × 4,212.80
  4. Step 4: Simplify right side
    6,430.40x = 40,634,983.68
  5. Step 5: Solve for x
    x = 40,634,983.68/6,430.40
  6. Step 6: Final answer
    x = 6,319.20

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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.