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Finding the Fourth Proportional to 9,345.78, 14,010.03 and 3,497.94

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Solution

The fourth proportional to 9,345.78, 14,010.03 and 3,497.94 is: 5,243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.78 : 14,010.03 = 3,497.94 : x
  2. Step 2: Convert to fraction form
    9,345.78/14,010.03 = 3,497.94/x
  3. Step 3: Cross multiply
    9,345.78x = 14,010.03 × 3,497.94
  4. Step 4: Simplify right side
    9,345.78x = 49,006,244.34
  5. Step 5: Solve for x
    x = 49,006,244.34/9,345.78
  6. Step 6: Final answer
    x = 5,243.68

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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.