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Finding the Fourth Proportional to 6,430.86, 9,662.45 and 4,091.89

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Solution

The fourth proportional to 6,430.86, 9,662.45 and 4,091.89 is: 6,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.86 : 9,662.45 = 4,091.89 : x
  2. Step 2: Convert to fraction form
    6,430.86/9,662.45 = 4,091.89/x
  3. Step 3: Cross multiply
    6,430.86x = 9,662.45 × 4,091.89
  4. Step 4: Simplify right side
    6,430.86x = 39,537,637.91
  5. Step 5: Solve for x
    x = 39,537,637.91/6,430.86
  6. Step 6: Final answer
    x = 6,148.11

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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.