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Finding the Fourth Proportional to 9,407.70, 14,111.84 and 3,486.08

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Solution

The fourth proportional to 9,407.70, 14,111.84 and 3,486.08 is: 5,229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.70 : 14,111.84 = 3,486.08 : x
  2. Step 2: Convert to fraction form
    9,407.70/14,111.84 = 3,486.08/x
  3. Step 3: Cross multiply
    9,407.70x = 14,111.84 × 3,486.08
  4. Step 4: Simplify right side
    9,407.70x = 49,195,047.18
  5. Step 5: Solve for x
    x = 49,195,047.18/9,407.70
  6. Step 6: Final answer
    x = 5,229.23

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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.