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Finding the Fourth Proportional to 9,651.29, 14,460.93 and 6,135.08

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Solution

The fourth proportional to 9,651.29, 14,460.93 and 6,135.08 is: 9,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.29 : 14,460.93 = 6,135.08 : x
  2. Step 2: Convert to fraction form
    9,651.29/14,460.93 = 6,135.08/x
  3. Step 3: Cross multiply
    9,651.29x = 14,460.93 × 6,135.08
  4. Step 4: Simplify right side
    9,651.29x = 88,718,890.12
  5. Step 5: Solve for x
    x = 88,718,890.12/9,651.29
  6. Step 6: Final answer
    x = 9,192.44

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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.