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Finding the Fourth Proportional to 9,745.08, 14,621.64 and 5,362.16

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Solution

The fourth proportional to 9,745.08, 14,621.64 and 5,362.16 is: 8,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.08 : 14,621.64 = 5,362.16 : x
  2. Step 2: Convert to fraction form
    9,745.08/14,621.64 = 5,362.16/x
  3. Step 3: Cross multiply
    9,745.08x = 14,621.64 × 5,362.16
  4. Step 4: Simplify right side
    9,745.08x = 78,403,573.14
  5. Step 5: Solve for x
    x = 78,403,573.14/9,745.08
  6. Step 6: Final answer
    x = 8,045.45

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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.