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Finding the Fourth Proportional to 10,429.36, 15,619.64 and 9,054

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Solution

The fourth proportional to 10,429.36, 15,619.64 and 9,054 is: 13,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.36 : 15,619.64 = 9,054 : x
  2. Step 2: Convert to fraction form
    10,429.36/15,619.64 = 9,054/x
  3. Step 3: Cross multiply
    10,429.36x = 15,619.64 × 9,054
  4. Step 4: Simplify right side
    10,429.36x = 141,420,220.56
  5. Step 5: Solve for x
    x = 141,420,220.56/10,429.36
  6. Step 6: Final answer
    x = 13,559.82

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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.