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Finding the Fourth Proportional to 9,071.84, 13,606.20 and 4,140.32

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Solution

The fourth proportional to 9,071.84, 13,606.20 and 4,140.32 is: 6,209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.84 : 13,606.20 = 4,140.32 : x
  2. Step 2: Convert to fraction form
    9,071.84/13,606.20 = 4,140.32/x
  3. Step 3: Cross multiply
    9,071.84x = 13,606.20 × 4,140.32
  4. Step 4: Simplify right side
    9,071.84x = 56,334,021.98
  5. Step 5: Solve for x
    x = 56,334,021.98/9,071.84
  6. Step 6: Final answer
    x = 6,209.77

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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.