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Finding the Fourth Proportional to 9,653.58, 14,484.89 and 3,418.30

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Solution

The fourth proportional to 9,653.58, 14,484.89 and 3,418.30 is: 5,129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.58 : 14,484.89 = 3,418.30 : x
  2. Step 2: Convert to fraction form
    9,653.58/14,484.89 = 3,418.30/x
  3. Step 3: Cross multiply
    9,653.58x = 14,484.89 × 3,418.30
  4. Step 4: Simplify right side
    9,653.58x = 49,513,726.14
  5. Step 5: Solve for x
    x = 49,513,726.14/9,653.58
  6. Step 6: Final answer
    x = 5,129.05

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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.