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Finding the Fourth Proportional to 9,382.16, 14,079.92 and 6,923.40

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Solution

The fourth proportional to 9,382.16, 14,079.92 and 6,923.40 is: 10,390.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.16 : 14,079.92 = 6,923.40 : x
  2. Step 2: Convert to fraction form
    9,382.16/14,079.92 = 6,923.40/x
  3. Step 3: Cross multiply
    9,382.16x = 14,079.92 × 6,923.40
  4. Step 4: Simplify right side
    9,382.16x = 97,480,883.51
  5. Step 5: Solve for x
    x = 97,480,883.51/9,382.16
  6. Step 6: Final answer
    x = 10,390.03

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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.