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Finding the Fourth Proportional to 34,418.60, 51,617.95 and 9,459.46

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Solution

The fourth proportional to 34,418.60, 51,617.95 and 9,459.46 is: 14,186.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,418.60 : 51,617.95 = 9,459.46 : x
  2. Step 2: Convert to fraction form
    34,418.60/51,617.95 = 9,459.46/x
  3. Step 3: Cross multiply
    34,418.60x = 51,617.95 × 9,459.46
  4. Step 4: Simplify right side
    34,418.60x = 488,277,933.31
  5. Step 5: Solve for x
    x = 488,277,933.31/34,418.60
  6. Step 6: Final answer
    x = 14,186.46

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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.