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Finding the Fourth Proportional to 9,653.12, 14,468.34 and 4,103

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Solution

The fourth proportional to 9,653.12, 14,468.34 and 4,103 is: 6,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.12 : 14,468.34 = 4,103 : x
  2. Step 2: Convert to fraction form
    9,653.12/14,468.34 = 4,103/x
  3. Step 3: Cross multiply
    9,653.12x = 14,468.34 × 4,103
  4. Step 4: Simplify right side
    9,653.12x = 59,363,599.02
  5. Step 5: Solve for x
    x = 59,363,599.02/9,653.12
  6. Step 6: Final answer
    x = 6,149.68

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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.