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Finding the Fourth Proportional to 9,715.54, 13,412.55 and 6,885.22

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Solution

The fourth proportional to 9,715.54, 13,412.55 and 6,885.22 is: 9,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.54 : 13,412.55 = 6,885.22 : x
  2. Step 2: Convert to fraction form
    9,715.54/13,412.55 = 6,885.22/x
  3. Step 3: Cross multiply
    9,715.54x = 13,412.55 × 6,885.22
  4. Step 4: Simplify right side
    9,715.54x = 92,348,357.51
  5. Step 5: Solve for x
    x = 92,348,357.51/9,715.54
  6. Step 6: Final answer
    x = 9,505.22

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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.