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Finding the Fourth Proportional to 9,648.15, 14,468.55 and 3,407.01

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Solution

The fourth proportional to 9,648.15, 14,468.55 and 3,407.01 is: 5,109.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.15 : 14,468.55 = 3,407.01 : x
  2. Step 2: Convert to fraction form
    9,648.15/14,468.55 = 3,407.01/x
  3. Step 3: Cross multiply
    9,648.15x = 14,468.55 × 3,407.01
  4. Step 4: Simplify right side
    9,648.15x = 49,294,494.54
  5. Step 5: Solve for x
    x = 49,294,494.54/9,648.15
  6. Step 6: Final answer
    x = 5,109.22

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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.