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Finding the Fourth Proportional to 9,540.70, 13,157.01 and 7,302.64

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Solution

The fourth proportional to 9,540.70, 13,157.01 and 7,302.64 is: 10,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.70 : 13,157.01 = 7,302.64 : x
  2. Step 2: Convert to fraction form
    9,540.70/13,157.01 = 7,302.64/x
  3. Step 3: Cross multiply
    9,540.70x = 13,157.01 × 7,302.64
  4. Step 4: Simplify right side
    9,540.70x = 96,080,907.51
  5. Step 5: Solve for x
    x = 96,080,907.51/9,540.70
  6. Step 6: Final answer
    x = 10,070.64

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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.