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Finding the Fourth Proportional to 9,647.04, 14,474.40 and 7,696.32

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Solution

The fourth proportional to 9,647.04, 14,474.40 and 7,696.32 is: 11,547.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.04 : 14,474.40 = 7,696.32 : x
  2. Step 2: Convert to fraction form
    9,647.04/14,474.40 = 7,696.32/x
  3. Step 3: Cross multiply
    9,647.04x = 14,474.40 × 7,696.32
  4. Step 4: Simplify right side
    9,647.04x = 111,399,614.21
  5. Step 5: Solve for x
    x = 111,399,614.21/9,647.04
  6. Step 6: Final answer
    x = 11,547.54

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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.