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Finding the Fourth Proportional to 9,925.92, 14,889.60 and 4,083.84

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Solution

The fourth proportional to 9,925.92, 14,889.60 and 4,083.84 is: 6,126.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.92 : 14,889.60 = 4,083.84 : x
  2. Step 2: Convert to fraction form
    9,925.92/14,889.60 = 4,083.84/x
  3. Step 3: Cross multiply
    9,925.92x = 14,889.60 × 4,083.84
  4. Step 4: Simplify right side
    9,925.92x = 60,806,744.06
  5. Step 5: Solve for x
    x = 60,806,744.06/9,925.92
  6. Step 6: Final answer
    x = 6,126.06

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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.