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Finding the Fourth Proportional to 10,203.36, 14,069.04 and 9,208.32

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Solution

The fourth proportional to 10,203.36, 14,069.04 and 9,208.32 is: 12,697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.36 : 14,069.04 = 9,208.32 : x
  2. Step 2: Convert to fraction form
    10,203.36/14,069.04 = 9,208.32/x
  3. Step 3: Cross multiply
    10,203.36x = 14,069.04 × 9,208.32
  4. Step 4: Simplify right side
    10,203.36x = 129,552,222.41
  5. Step 5: Solve for x
    x = 129,552,222.41/10,203.36
  6. Step 6: Final answer
    x = 12,697.02

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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.