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Finding the Fourth Proportional to 6,430.30, 9,636.45 and 5,116.30

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Solution

The fourth proportional to 6,430.30, 9,636.45 and 5,116.30 is: 7,667.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.30 : 9,636.45 = 5,116.30 : x
  2. Step 2: Convert to fraction form
    6,430.30/9,636.45 = 5,116.30/x
  3. Step 3: Cross multiply
    6,430.30x = 9,636.45 × 5,116.30
  4. Step 4: Simplify right side
    6,430.30x = 49,302,969.14
  5. Step 5: Solve for x
    x = 49,302,969.14/6,430.30
  6. Step 6: Final answer
    x = 7,667.29

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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.