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Finding the Fourth Proportional to 10,207.47, 15,297.77 and 9,541.58

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Solution

The fourth proportional to 10,207.47, 15,297.77 and 9,541.58 is: 14,299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207.47 : 15,297.77 = 9,541.58 : x
  2. Step 2: Convert to fraction form
    10,207.47/15,297.77 = 9,541.58/x
  3. Step 3: Cross multiply
    10,207.47x = 15,297.77 × 9,541.58
  4. Step 4: Simplify right side
    10,207.47x = 145,964,876.02
  5. Step 5: Solve for x
    x = 145,964,876.02/10,207.47
  6. Step 6: Final answer
    x = 14,299.80

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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.