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Finding the Fourth Proportional to 9,610.49, 14,410.49 and 4,339.32

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Solution

The fourth proportional to 9,610.49, 14,410.49 and 4,339.32 is: 6,506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.49 : 14,410.49 = 4,339.32 : x
  2. Step 2: Convert to fraction form
    9,610.49/14,410.49 = 4,339.32/x
  3. Step 3: Cross multiply
    9,610.49x = 14,410.49 × 4,339.32
  4. Step 4: Simplify right side
    9,610.49x = 62,531,727.47
  5. Step 5: Solve for x
    x = 62,531,727.47/9,610.49
  6. Step 6: Final answer
    x = 6,506.61

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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.