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Finding the Fourth Proportional to 9,570.29, 13,207.32 and 5,321.30

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Solution

The fourth proportional to 9,570.29, 13,207.32 and 5,321.30 is: 7,343.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.29 : 13,207.32 = 5,321.30 : x
  2. Step 2: Convert to fraction form
    9,570.29/13,207.32 = 5,321.30/x
  3. Step 3: Cross multiply
    9,570.29x = 13,207.32 × 5,321.30
  4. Step 4: Simplify right side
    9,570.29x = 70,280,045.88
  5. Step 5: Solve for x
    x = 70,280,045.88/9,570.29
  6. Step 6: Final answer
    x = 7,343.57

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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.