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Finding the Fourth Proportional to 9,937.94, 13,714.08 and 5,461.70

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Solution

The fourth proportional to 9,937.94, 13,714.08 and 5,461.70 is: 7,536.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.94 : 13,714.08 = 5,461.70 : x
  2. Step 2: Convert to fraction form
    9,937.94/13,714.08 = 5,461.70/x
  3. Step 3: Cross multiply
    9,937.94x = 13,714.08 × 5,461.70
  4. Step 4: Simplify right side
    9,937.94x = 74,902,122.17
  5. Step 5: Solve for x
    x = 74,902,122.17/9,937.94
  6. Step 6: Final answer
    x = 7,536.98

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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.