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Finding the Fourth Proportional to 9,640.30, 14,465.91 and 3,801.01

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Solution

The fourth proportional to 9,640.30, 14,465.91 and 3,801.01 is: 5,703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.30 : 14,465.91 = 3,801.01 : x
  2. Step 2: Convert to fraction form
    9,640.30/14,465.91 = 3,801.01/x
  3. Step 3: Cross multiply
    9,640.30x = 14,465.91 × 3,801.01
  4. Step 4: Simplify right side
    9,640.30x = 54,985,068.57
  5. Step 5: Solve for x
    x = 54,985,068.57/9,640.30
  6. Step 6: Final answer
    x = 5,703.67

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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.