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Finding the Fourth Proportional to 9,701.58, 14,540.19 and 4,148.39

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Solution

The fourth proportional to 9,701.58, 14,540.19 and 4,148.39 is: 6,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.58 : 14,540.19 = 4,148.39 : x
  2. Step 2: Convert to fraction form
    9,701.58/14,540.19 = 4,148.39/x
  3. Step 3: Cross multiply
    9,701.58x = 14,540.19 × 4,148.39
  4. Step 4: Simplify right side
    9,701.58x = 60,318,368.42
  5. Step 5: Solve for x
    x = 60,318,368.42/9,701.58
  6. Step 6: Final answer
    x = 6,217.38

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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.