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Finding the Fourth Proportional to 9,513.36, 13,123.08 and 6,714

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Solution

The fourth proportional to 9,513.36, 13,123.08 and 6,714 is: 9,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.36 : 13,123.08 = 6,714 : x
  2. Step 2: Convert to fraction form
    9,513.36/13,123.08 = 6,714/x
  3. Step 3: Cross multiply
    9,513.36x = 13,123.08 × 6,714
  4. Step 4: Simplify right side
    9,513.36x = 88,108,359.12
  5. Step 5: Solve for x
    x = 88,108,359.12/9,513.36
  6. Step 6: Final answer
    x = 9,261.54

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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.