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Finding the Fourth Proportional to 9,537.66, 13,165.47 and 7,175.70

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Solution

The fourth proportional to 9,537.66, 13,165.47 and 7,175.70 is: 9,905.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.66 : 13,165.47 = 7,175.70 : x
  2. Step 2: Convert to fraction form
    9,537.66/13,165.47 = 7,175.70/x
  3. Step 3: Cross multiply
    9,537.66x = 13,165.47 × 7,175.70
  4. Step 4: Simplify right side
    9,537.66x = 94,471,463.08
  5. Step 5: Solve for x
    x = 94,471,463.08/9,537.66
  6. Step 6: Final answer
    x = 9,905.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.