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Finding the Fourth Proportional to 9,561.53, 13,195.06 and 5,312.86

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Solution

The fourth proportional to 9,561.53, 13,195.06 and 5,312.86 is: 7,331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.53 : 13,195.06 = 5,312.86 : x
  2. Step 2: Convert to fraction form
    9,561.53/13,195.06 = 5,312.86/x
  3. Step 3: Cross multiply
    9,561.53x = 13,195.06 × 5,312.86
  4. Step 4: Simplify right side
    9,561.53x = 70,103,506.47
  5. Step 5: Solve for x
    x = 70,103,506.47/9,561.53
  6. Step 6: Final answer
    x = 7,331.83

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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.