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Finding the Fourth Proportional to 35,967.40, 53,951 and 9,672.14

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Solution

The fourth proportional to 35,967.40, 53,951 and 9,672.14 is: 14,508.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,967.40 : 53,951 = 9,672.14 : x
  2. Step 2: Convert to fraction form
    35,967.40/53,951 = 9,672.14/x
  3. Step 3: Cross multiply
    35,967.40x = 53,951 × 9,672.14
  4. Step 4: Simplify right side
    35,967.40x = 521,821,625.14
  5. Step 5: Solve for x
    x = 521,821,625.14/35,967.40
  6. Step 6: Final answer
    x = 14,508.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.