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Finding the Fourth Proportional to 12,537, 17,302.14 and 6,949.08

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Solution

The fourth proportional to 12,537, 17,302.14 and 6,949.08 is: 9,590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537 : 17,302.14 = 6,949.08 : x
  2. Step 2: Convert to fraction form
    12,537/17,302.14 = 6,949.08/x
  3. Step 3: Cross multiply
    12,537x = 17,302.14 × 6,949.08
  4. Step 4: Simplify right side
    12,537x = 120,233,955.03
  5. Step 5: Solve for x
    x = 120,233,955.03/12,537
  6. Step 6: Final answer
    x = 9,590.33

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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.