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Finding the Fourth Proportional to 9,647.04, 13,310.16 and 6,111.84

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Solution

The fourth proportional to 9,647.04, 13,310.16 and 6,111.84 is: 8,432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.04 : 13,310.16 = 6,111.84 : x
  2. Step 2: Convert to fraction form
    9,647.04/13,310.16 = 6,111.84/x
  3. Step 3: Cross multiply
    9,647.04x = 13,310.16 × 6,111.84
  4. Step 4: Simplify right side
    9,647.04x = 81,349,568.29
  5. Step 5: Solve for x
    x = 81,349,568.29/9,647.04
  6. Step 6: Final answer
    x = 8,432.59

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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.