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Finding the Fourth Proportional to 10,074.65, 13,897.40 and 9,361.94

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Solution

The fourth proportional to 10,074.65, 13,897.40 and 9,361.94 is: 12,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.65 : 13,897.40 = 9,361.94 : x
  2. Step 2: Convert to fraction form
    10,074.65/13,897.40 = 9,361.94/x
  3. Step 3: Cross multiply
    10,074.65x = 13,897.40 × 9,361.94
  4. Step 4: Simplify right side
    10,074.65x = 130,106,508.66
  5. Step 5: Solve for x
    x = 130,106,508.66/10,074.65
  6. Step 6: Final answer
    x = 12,914.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.