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Finding the Fourth Proportional to 9,884.16, 14,826.06 and 4,039.38

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Solution

The fourth proportional to 9,884.16, 14,826.06 and 4,039.38 is: 6,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.16 : 14,826.06 = 4,039.38 : x
  2. Step 2: Convert to fraction form
    9,884.16/14,826.06 = 4,039.38/x
  3. Step 3: Cross multiply
    9,884.16x = 14,826.06 × 4,039.38
  4. Step 4: Simplify right side
    9,884.16x = 59,888,090.24
  5. Step 5: Solve for x
    x = 59,888,090.24/9,884.16
  6. Step 6: Final answer
    x = 6,059.00

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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.