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Finding the Fourth Proportional to 9,630.90, 14,430.15 and 8,237.70

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Solution

The fourth proportional to 9,630.90, 14,430.15 and 8,237.70 is: 12,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.90 : 14,430.15 = 8,237.70 : x
  2. Step 2: Convert to fraction form
    9,630.90/14,430.15 = 8,237.70/x
  3. Step 3: Cross multiply
    9,630.90x = 14,430.15 × 8,237.70
  4. Step 4: Simplify right side
    9,630.90x = 118,871,246.66
  5. Step 5: Solve for x
    x = 118,871,246.66/9,630.90
  6. Step 6: Final answer
    x = 12,342.69

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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.