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Finding the Fourth Proportional to 9,642.18, 14,465.44 and 3,402.64

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Solution

The fourth proportional to 9,642.18, 14,465.44 and 3,402.64 is: 5,104.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.18 : 14,465.44 = 3,402.64 : x
  2. Step 2: Convert to fraction form
    9,642.18/14,465.44 = 3,402.64/x
  3. Step 3: Cross multiply
    9,642.18x = 14,465.44 × 3,402.64
  4. Step 4: Simplify right side
    9,642.18x = 49,220,603.93
  5. Step 5: Solve for x
    x = 49,220,603.93/9,642.18
  6. Step 6: Final answer
    x = 5,104.72

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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.