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Finding the Fourth Proportional to 9,505.23, 14,264.01 and 5,125.74

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Solution

The fourth proportional to 9,505.23, 14,264.01 and 5,125.74 is: 7,691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.23 : 14,264.01 = 5,125.74 : x
  2. Step 2: Convert to fraction form
    9,505.23/14,264.01 = 5,125.74/x
  3. Step 3: Cross multiply
    9,505.23x = 14,264.01 × 5,125.74
  4. Step 4: Simplify right side
    9,505.23x = 73,113,606.62
  5. Step 5: Solve for x
    x = 73,113,606.62/9,505.23
  6. Step 6: Final answer
    x = 7,691.93

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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.