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Finding the Fourth Proportional to 9,403.47, 14,077.52 and 6,949.23

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Solution

The fourth proportional to 9,403.47, 14,077.52 and 6,949.23 is: 10,403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.47 : 14,077.52 = 6,949.23 : x
  2. Step 2: Convert to fraction form
    9,403.47/14,077.52 = 6,949.23/x
  3. Step 3: Cross multiply
    9,403.47x = 14,077.52 × 6,949.23
  4. Step 4: Simplify right side
    9,403.47x = 97,827,889.56
  5. Step 5: Solve for x
    x = 97,827,889.56/9,403.47
  6. Step 6: Final answer
    x = 10,403.38

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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.