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Finding the Fourth Proportional to 9,774.06, 14,668.83 and 5,095.41

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Solution

The fourth proportional to 9,774.06, 14,668.83 and 5,095.41 is: 7,647.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.06 : 14,668.83 = 5,095.41 : x
  2. Step 2: Convert to fraction form
    9,774.06/14,668.83 = 5,095.41/x
  3. Step 3: Cross multiply
    9,774.06x = 14,668.83 × 5,095.41
  4. Step 4: Simplify right side
    9,774.06x = 74,743,703.07
  5. Step 5: Solve for x
    x = 74,743,703.07/9,774.06
  6. Step 6: Final answer
    x = 7,647.15

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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.