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Finding the Fourth Proportional to 9,482.51, 13,083.04 and 6,122.26

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Solution

The fourth proportional to 9,482.51, 13,083.04 and 6,122.26 is: 8,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.51 : 13,083.04 = 6,122.26 : x
  2. Step 2: Convert to fraction form
    9,482.51/13,083.04 = 6,122.26/x
  3. Step 3: Cross multiply
    9,482.51x = 13,083.04 × 6,122.26
  4. Step 4: Simplify right side
    9,482.51x = 80,097,724.46
  5. Step 5: Solve for x
    x = 80,097,724.46/9,482.51
  6. Step 6: Final answer
    x = 8,446.89

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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.