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Finding the Fourth Proportional to 9,623, 13,279.78 and 5,207

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Solution

The fourth proportional to 9,623, 13,279.78 and 5,207 is: 7,185.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623 : 13,279.78 = 5,207 : x
  2. Step 2: Convert to fraction form
    9,623/13,279.78 = 5,207/x
  3. Step 3: Cross multiply
    9,623x = 13,279.78 × 5,207
  4. Step 4: Simplify right side
    9,623x = 69,147,814.46
  5. Step 5: Solve for x
    x = 69,147,814.46/9,623
  6. Step 6: Final answer
    x = 7,185.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.