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Finding the Fourth Proportional to 8,430.47, 12,646.32 and 3,236.34

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Solution

The fourth proportional to 8,430.47, 12,646.32 and 3,236.34 is: 4,854.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.47 : 12,646.32 = 3,236.34 : x
  2. Step 2: Convert to fraction form
    8,430.47/12,646.32 = 3,236.34/x
  3. Step 3: Cross multiply
    8,430.47x = 12,646.32 × 3,236.34
  4. Step 4: Simplify right side
    8,430.47x = 40,927,826.56
  5. Step 5: Solve for x
    x = 40,927,826.56/8,430.47
  6. Step 6: Final answer
    x = 4,854.75

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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.