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Finding the Fourth Proportional to 9,208.34, 13,841.67 and 7,925.30

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Solution

The fourth proportional to 9,208.34, 13,841.67 and 7,925.30 is: 11,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.34 : 13,841.67 = 7,925.30 : x
  2. Step 2: Convert to fraction form
    9,208.34/13,841.67 = 7,925.30/x
  3. Step 3: Cross multiply
    9,208.34x = 13,841.67 × 7,925.30
  4. Step 4: Simplify right side
    9,208.34x = 109,699,387.25
  5. Step 5: Solve for x
    x = 109,699,387.25/9,208.34
  6. Step 6: Final answer
    x = 11,913.05

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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.