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Finding the Fourth Proportional to 9,536.70, 14,307.85 and 4,270.54

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Solution

The fourth proportional to 9,536.70, 14,307.85 and 4,270.54 is: 6,407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.70 : 14,307.85 = 4,270.54 : x
  2. Step 2: Convert to fraction form
    9,536.70/14,307.85 = 4,270.54/x
  3. Step 3: Cross multiply
    9,536.70x = 14,307.85 × 4,270.54
  4. Step 4: Simplify right side
    9,536.70x = 61,102,245.74
  5. Step 5: Solve for x
    x = 61,102,245.74/9,536.70
  6. Step 6: Final answer
    x = 6,407.06

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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.