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Finding the Fourth Proportional to 9,478.02, 14,214.86 and 2,553.06

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Solution

The fourth proportional to 9,478.02, 14,214.86 and 2,553.06 is: 3,829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.02 : 14,214.86 = 2,553.06 : x
  2. Step 2: Convert to fraction form
    9,478.02/14,214.86 = 2,553.06/x
  3. Step 3: Cross multiply
    9,478.02x = 14,214.86 × 2,553.06
  4. Step 4: Simplify right side
    9,478.02x = 36,291,390.47
  5. Step 5: Solve for x
    x = 36,291,390.47/9,478.02
  6. Step 6: Final answer
    x = 3,829.01

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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.