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Finding the Fourth Proportional to 9,914.07, 14,858.26 and 7,565.41

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Solution

The fourth proportional to 9,914.07, 14,858.26 and 7,565.41 is: 11,338.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.07 : 14,858.26 = 7,565.41 : x
  2. Step 2: Convert to fraction form
    9,914.07/14,858.26 = 7,565.41/x
  3. Step 3: Cross multiply
    9,914.07x = 14,858.26 × 7,565.41
  4. Step 4: Simplify right side
    9,914.07x = 112,408,828.79
  5. Step 5: Solve for x
    x = 112,408,828.79/9,914.07
  6. Step 6: Final answer
    x = 11,338.31

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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.