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Finding the Fourth Proportional to 9,860.78, 14,788.54 and 6,740.26

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Solution

The fourth proportional to 9,860.78, 14,788.54 and 6,740.26 is: 10,108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.78 : 14,788.54 = 6,740.26 : x
  2. Step 2: Convert to fraction form
    9,860.78/14,788.54 = 6,740.26/x
  3. Step 3: Cross multiply
    9,860.78x = 14,788.54 × 6,740.26
  4. Step 4: Simplify right side
    9,860.78x = 99,678,576.07
  5. Step 5: Solve for x
    x = 99,678,576.07/9,860.78
  6. Step 6: Final answer
    x = 10,108.59

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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.