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Finding the Fourth Proportional to 9,695.12, 13,375.91 and 5,715.39

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Solution

The fourth proportional to 9,695.12, 13,375.91 and 5,715.39 is: 7,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.12 : 13,375.91 = 5,715.39 : x
  2. Step 2: Convert to fraction form
    9,695.12/13,375.91 = 5,715.39/x
  3. Step 3: Cross multiply
    9,695.12x = 13,375.91 × 5,715.39
  4. Step 4: Simplify right side
    9,695.12x = 76,448,461.09
  5. Step 5: Solve for x
    x = 76,448,461.09/9,695.12
  6. Step 6: Final answer
    x = 7,885.25

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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.