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Finding the Fourth Proportional to 9,376.46, 14,071.54 and 6,917.90

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Solution

The fourth proportional to 9,376.46, 14,071.54 and 6,917.90 is: 10,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.46 : 14,071.54 = 6,917.90 : x
  2. Step 2: Convert to fraction form
    9,376.46/14,071.54 = 6,917.90/x
  3. Step 3: Cross multiply
    9,376.46x = 14,071.54 × 6,917.90
  4. Step 4: Simplify right side
    9,376.46x = 97,345,506.57
  5. Step 5: Solve for x
    x = 97,345,506.57/9,376.46
  6. Step 6: Final answer
    x = 10,381.90

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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.