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Finding the Fourth Proportional to 9,683.88, 14,526.02 and 2,758.38

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Solution

The fourth proportional to 9,683.88, 14,526.02 and 2,758.38 is: 4,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.88 : 14,526.02 = 2,758.38 : x
  2. Step 2: Convert to fraction form
    9,683.88/14,526.02 = 2,758.38/x
  3. Step 3: Cross multiply
    9,683.88x = 14,526.02 × 2,758.38
  4. Step 4: Simplify right side
    9,683.88x = 40,068,196.63
  5. Step 5: Solve for x
    x = 40,068,196.63/9,683.88
  6. Step 6: Final answer
    x = 4,137.62

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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.