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Finding the Fourth Proportional to 9,005.40, 13,506.12 and 4,071.78

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Solution

The fourth proportional to 9,005.40, 13,506.12 and 4,071.78 is: 6,106.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.40 : 13,506.12 = 4,071.78 : x
  2. Step 2: Convert to fraction form
    9,005.40/13,506.12 = 4,071.78/x
  3. Step 3: Cross multiply
    9,005.40x = 13,506.12 × 4,071.78
  4. Step 4: Simplify right side
    9,005.40x = 54,993,949.29
  5. Step 5: Solve for x
    x = 54,993,949.29/9,005.40
  6. Step 6: Final answer
    x = 6,106.77

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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.