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Finding the Fourth Proportional to 9,937.54, 13,713.87 and 5,461.66

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Solution

The fourth proportional to 9,937.54, 13,713.87 and 5,461.66 is: 7,537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.54 : 13,713.87 = 5,461.66 : x
  2. Step 2: Convert to fraction form
    9,937.54/13,713.87 = 5,461.66/x
  3. Step 3: Cross multiply
    9,937.54x = 13,713.87 × 5,461.66
  4. Step 4: Simplify right side
    9,937.54x = 74,900,495.22
  5. Step 5: Solve for x
    x = 74,900,495.22/9,937.54
  6. Step 6: Final answer
    x = 7,537.13

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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.