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Finding the Fourth Proportional to 9,894.07, 14,837.12 and 3,567.15

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Solution

The fourth proportional to 9,894.07, 14,837.12 and 3,567.15 is: 5,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.07 : 14,837.12 = 3,567.15 : x
  2. Step 2: Convert to fraction form
    9,894.07/14,837.12 = 3,567.15/x
  3. Step 3: Cross multiply
    9,894.07x = 14,837.12 × 3,567.15
  4. Step 4: Simplify right side
    9,894.07x = 52,926,269.08
  5. Step 5: Solve for x
    x = 52,926,269.08/9,894.07
  6. Step 6: Final answer
    x = 5,349.29

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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.