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Finding the Fourth Proportional to 6,430.35, 9,649.14 and 2,537.49

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Solution

The fourth proportional to 6,430.35, 9,649.14 and 2,537.49 is: 3,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.35 : 9,649.14 = 2,537.49 : x
  2. Step 2: Convert to fraction form
    6,430.35/9,649.14 = 2,537.49/x
  3. Step 3: Cross multiply
    6,430.35x = 9,649.14 × 2,537.49
  4. Step 4: Simplify right side
    6,430.35x = 24,484,596.26
  5. Step 5: Solve for x
    x = 24,484,596.26/6,430.35
  6. Step 6: Final answer
    x = 3,807.66

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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.