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Finding the Fourth Proportional to 9,648.35, 14,472.53 and 4,451.39

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Solution

The fourth proportional to 9,648.35, 14,472.53 and 4,451.39 is: 6,677.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.35 : 14,472.53 = 4,451.39 : x
  2. Step 2: Convert to fraction form
    9,648.35/14,472.53 = 4,451.39/x
  3. Step 3: Cross multiply
    9,648.35x = 14,472.53 × 4,451.39
  4. Step 4: Simplify right side
    9,648.35x = 64,422,875.32
  5. Step 5: Solve for x
    x = 64,422,875.32/9,648.35
  6. Step 6: Final answer
    x = 6,677.09

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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.