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Finding the Fourth Proportional to 9,074.32, 13,602.84 and 2,914

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Solution

The fourth proportional to 9,074.32, 13,602.84 and 2,914 is: 4,368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.32 : 13,602.84 = 2,914 : x
  2. Step 2: Convert to fraction form
    9,074.32/13,602.84 = 2,914/x
  3. Step 3: Cross multiply
    9,074.32x = 13,602.84 × 2,914
  4. Step 4: Simplify right side
    9,074.32x = 39,638,675.76
  5. Step 5: Solve for x
    x = 39,638,675.76/9,074.32
  6. Step 6: Final answer
    x = 4,368.23

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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.