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Finding the Fourth Proportional to 9,838.42, 14,757.63 and 3,599.26

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Solution

The fourth proportional to 9,838.42, 14,757.63 and 3,599.26 is: 5,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.42 : 14,757.63 = 3,599.26 : x
  2. Step 2: Convert to fraction form
    9,838.42/14,757.63 = 3,599.26/x
  3. Step 3: Cross multiply
    9,838.42x = 14,757.63 × 3,599.26
  4. Step 4: Simplify right side
    9,838.42x = 53,116,547.35
  5. Step 5: Solve for x
    x = 53,116,547.35/9,838.42
  6. Step 6: Final answer
    x = 5,398.89

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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.