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Finding the Fourth Proportional to 9,648.01, 14,478.47 and 3,408.07

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Solution

The fourth proportional to 9,648.01, 14,478.47 and 3,408.07 is: 5,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.01 : 14,478.47 = 3,408.07 : x
  2. Step 2: Convert to fraction form
    9,648.01/14,478.47 = 3,408.07/x
  3. Step 3: Cross multiply
    9,648.01x = 14,478.47 × 3,408.07
  4. Step 4: Simplify right side
    9,648.01x = 49,343,639.25
  5. Step 5: Solve for x
    x = 49,343,639.25/9,648.01
  6. Step 6: Final answer
    x = 5,114.39

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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.