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Finding the Fourth Proportional to 9,971.80, 14,928.90 and 6,083.80

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Solution

The fourth proportional to 9,971.80, 14,928.90 and 6,083.80 is: 9,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.80 : 14,928.90 = 6,083.80 : x
  2. Step 2: Convert to fraction form
    9,971.80/14,928.90 = 6,083.80/x
  3. Step 3: Cross multiply
    9,971.80x = 14,928.90 × 6,083.80
  4. Step 4: Simplify right side
    9,971.80x = 90,824,441.82
  5. Step 5: Solve for x
    x = 90,824,441.82/9,971.80
  6. Step 6: Final answer
    x = 9,108.13

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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.