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Finding the Fourth Proportional to 6,430.70, 9,636.12 and 4,342.52

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Solution

The fourth proportional to 6,430.70, 9,636.12 and 4,342.52 is: 6,507.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.70 : 9,636.12 = 4,342.52 : x
  2. Step 2: Convert to fraction form
    6,430.70/9,636.12 = 4,342.52/x
  3. Step 3: Cross multiply
    6,430.70x = 9,636.12 × 4,342.52
  4. Step 4: Simplify right side
    6,430.70x = 41,844,995.64
  5. Step 5: Solve for x
    x = 41,844,995.64/6,430.70
  6. Step 6: Final answer
    x = 6,507.07

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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.