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Finding the Fourth Proportional to 10,290.75, 14,206.14 and 6,893.61

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Solution

The fourth proportional to 10,290.75, 14,206.14 and 6,893.61 is: 9,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.75 : 14,206.14 = 6,893.61 : x
  2. Step 2: Convert to fraction form
    10,290.75/14,206.14 = 6,893.61/x
  3. Step 3: Cross multiply
    10,290.75x = 14,206.14 × 6,893.61
  4. Step 4: Simplify right side
    10,290.75x = 97,931,588.77
  5. Step 5: Solve for x
    x = 97,931,588.77/10,290.75
  6. Step 6: Final answer
    x = 9,516.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.