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Finding the Fourth Proportional to 9,497.12, 13,106.04 and 5,305.28

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Solution

The fourth proportional to 9,497.12, 13,106.04 and 5,305.28 is: 7,321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.12 : 13,106.04 = 5,305.28 : x
  2. Step 2: Convert to fraction form
    9,497.12/13,106.04 = 5,305.28/x
  3. Step 3: Cross multiply
    9,497.12x = 13,106.04 × 5,305.28
  4. Step 4: Simplify right side
    9,497.12x = 69,531,211.89
  5. Step 5: Solve for x
    x = 69,531,211.89/9,497.12
  6. Step 6: Final answer
    x = 7,321.29

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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.