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Finding the Fourth Proportional to 9,536.70, 14,303.52 and 2,609.58

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Solution

The fourth proportional to 9,536.70, 14,303.52 and 2,609.58 is: 3,913.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.70 : 14,303.52 = 2,609.58 : x
  2. Step 2: Convert to fraction form
    9,536.70/14,303.52 = 2,609.58/x
  3. Step 3: Cross multiply
    9,536.70x = 14,303.52 × 2,609.58
  4. Step 4: Simplify right side
    9,536.70x = 37,326,179.72
  5. Step 5: Solve for x
    x = 37,326,179.72/9,536.70
  6. Step 6: Final answer
    x = 3,913.95

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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.