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Finding the Fourth Proportional to 28,284.49, 42,426.90 and 9,564.66

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Solution

The fourth proportional to 28,284.49, 42,426.90 and 9,564.66 is: 14,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,284.49 : 42,426.90 = 9,564.66 : x
  2. Step 2: Convert to fraction form
    28,284.49/42,426.90 = 9,564.66/x
  3. Step 3: Cross multiply
    28,284.49x = 42,426.90 × 9,564.66
  4. Step 4: Simplify right side
    28,284.49x = 405,798,873.35
  5. Step 5: Solve for x
    x = 405,798,873.35/28,284.49
  6. Step 6: Final answer
    x = 14,347.05

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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.