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Finding the Fourth Proportional to 9,937.67, 13,714.19 and 5,461.75

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Solution

The fourth proportional to 9,937.67, 13,714.19 and 5,461.75 is: 7,537.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.67 : 13,714.19 = 5,461.75 : x
  2. Step 2: Convert to fraction form
    9,937.67/13,714.19 = 5,461.75/x
  3. Step 3: Cross multiply
    9,937.67x = 13,714.19 × 5,461.75
  4. Step 4: Simplify right side
    9,937.67x = 74,903,477.23
  5. Step 5: Solve for x
    x = 74,903,477.23/9,937.67
  6. Step 6: Final answer
    x = 7,537.33

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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.