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Finding the Fourth Proportional to 9,272.34, 13,909.05 and 3,033

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Solution

The fourth proportional to 9,272.34, 13,909.05 and 3,033 is: 4,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.34 : 13,909.05 = 3,033 : x
  2. Step 2: Convert to fraction form
    9,272.34/13,909.05 = 3,033/x
  3. Step 3: Cross multiply
    9,272.34x = 13,909.05 × 3,033
  4. Step 4: Simplify right side
    9,272.34x = 42,186,148.65
  5. Step 5: Solve for x
    x = 42,186,148.65/9,272.34
  6. Step 6: Final answer
    x = 4,549.68

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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.