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Finding the Fourth Proportional to 10,094.86, 15,152.01 and 9,458.22

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Solution

The fourth proportional to 10,094.86, 15,152.01 and 9,458.22 is: 14,196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.86 : 15,152.01 = 9,458.22 : x
  2. Step 2: Convert to fraction form
    10,094.86/15,152.01 = 9,458.22/x
  3. Step 3: Cross multiply
    10,094.86x = 15,152.01 × 9,458.22
  4. Step 4: Simplify right side
    10,094.86x = 143,311,044.02
  5. Step 5: Solve for x
    x = 143,311,044.02/10,094.86
  6. Step 6: Final answer
    x = 14,196.44

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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.