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Finding the Fourth Proportional to 10,069.32, 13,903.95 and 6,538.56

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Solution

The fourth proportional to 10,069.32, 13,903.95 and 6,538.56 is: 9,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.32 : 13,903.95 = 6,538.56 : x
  2. Step 2: Convert to fraction form
    10,069.32/13,903.95 = 6,538.56/x
  3. Step 3: Cross multiply
    10,069.32x = 13,903.95 × 6,538.56
  4. Step 4: Simplify right side
    10,069.32x = 90,911,811.31
  5. Step 5: Solve for x
    x = 90,911,811.31/10,069.32
  6. Step 6: Final answer
    x = 9,028.59

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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.