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Finding the Fourth Proportional to 9,405.40, 14,111.70 and 4,207.54

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Solution

The fourth proportional to 9,405.40, 14,111.70 and 4,207.54 is: 6,312.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.40 : 14,111.70 = 4,207.54 : x
  2. Step 2: Convert to fraction form
    9,405.40/14,111.70 = 4,207.54/x
  3. Step 3: Cross multiply
    9,405.40x = 14,111.70 × 4,207.54
  4. Step 4: Simplify right side
    9,405.40x = 59,375,542.22
  5. Step 5: Solve for x
    x = 59,375,542.22/9,405.40
  6. Step 6: Final answer
    x = 6,312.92

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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.