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Finding the Fourth Proportional to 9,693.19, 14,514.40 and 6,350.93

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Solution

The fourth proportional to 9,693.19, 14,514.40 and 6,350.93 is: 9,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.19 : 14,514.40 = 6,350.93 : x
  2. Step 2: Convert to fraction form
    9,693.19/14,514.40 = 6,350.93/x
  3. Step 3: Cross multiply
    9,693.19x = 14,514.40 × 6,350.93
  4. Step 4: Simplify right side
    9,693.19x = 92,179,938.39
  5. Step 5: Solve for x
    x = 92,179,938.39/9,693.19
  6. Step 6: Final answer
    x = 9,509.76

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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.