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Finding the Fourth Proportional to 9,374.55, 14,065.71 and 4,106.84

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Solution

The fourth proportional to 9,374.55, 14,065.71 and 4,106.84 is: 6,161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.55 : 14,065.71 = 4,106.84 : x
  2. Step 2: Convert to fraction form
    9,374.55/14,065.71 = 4,106.84/x
  3. Step 3: Cross multiply
    9,374.55x = 14,065.71 × 4,106.84
  4. Step 4: Simplify right side
    9,374.55x = 57,765,564.76
  5. Step 5: Solve for x
    x = 57,765,564.76/9,374.55
  6. Step 6: Final answer
    x = 6,161.96

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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.