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Finding the Fourth Proportional to 9,647.10, 14,448.78 and 7,554.06

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Solution

The fourth proportional to 9,647.10, 14,448.78 and 7,554.06 is: 11,313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.10 : 14,448.78 = 7,554.06 : x
  2. Step 2: Convert to fraction form
    9,647.10/14,448.78 = 7,554.06/x
  3. Step 3: Cross multiply
    9,647.10x = 14,448.78 × 7,554.06
  4. Step 4: Simplify right side
    9,647.10x = 109,146,951.05
  5. Step 5: Solve for x
    x = 109,146,951.05/9,647.10
  6. Step 6: Final answer
    x = 11,313.96

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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.