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Finding the Fourth Proportional to 9,995.64, 14,993.38 and 4,071.13

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Solution

The fourth proportional to 9,995.64, 14,993.38 and 4,071.13 is: 6,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.64 : 14,993.38 = 4,071.13 : x
  2. Step 2: Convert to fraction form
    9,995.64/14,993.38 = 4,071.13/x
  3. Step 3: Cross multiply
    9,995.64x = 14,993.38 × 4,071.13
  4. Step 4: Simplify right side
    9,995.64x = 61,039,999.12
  5. Step 5: Solve for x
    x = 61,039,999.12/9,995.64
  6. Step 6: Final answer
    x = 6,106.66

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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.