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Finding the Fourth Proportional to 6,430.15, 9,645.94 and 2,046.59

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Solution

The fourth proportional to 6,430.15, 9,645.94 and 2,046.59 is: 3,070.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.15 : 9,645.94 = 2,046.59 : x
  2. Step 2: Convert to fraction form
    6,430.15/9,645.94 = 2,046.59/x
  3. Step 3: Cross multiply
    6,430.15x = 9,645.94 × 2,046.59
  4. Step 4: Simplify right side
    6,430.15x = 19,741,284.34
  5. Step 5: Solve for x
    x = 19,741,284.34/6,430.15
  6. Step 6: Final answer
    x = 3,070.11

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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.