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Finding the Fourth Proportional to 9,430.48, 14,140.86 and 6,473.44

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Solution

The fourth proportional to 9,430.48, 14,140.86 and 6,473.44 is: 9,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.48 : 14,140.86 = 6,473.44 : x
  2. Step 2: Convert to fraction form
    9,430.48/14,140.86 = 6,473.44/x
  3. Step 3: Cross multiply
    9,430.48x = 14,140.86 × 6,473.44
  4. Step 4: Simplify right side
    9,430.48x = 91,540,008.76
  5. Step 5: Solve for x
    x = 91,540,008.76/9,430.48
  6. Step 6: Final answer
    x = 9,706.82

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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.