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Finding the Fourth Proportional to 9,698.12, 14,546.70 and 3,124.16

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Solution

The fourth proportional to 9,698.12, 14,546.70 and 3,124.16 is: 4,686.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.12 : 14,546.70 = 3,124.16 : x
  2. Step 2: Convert to fraction form
    9,698.12/14,546.70 = 3,124.16/x
  3. Step 3: Cross multiply
    9,698.12x = 14,546.70 × 3,124.16
  4. Step 4: Simplify right side
    9,698.12x = 45,446,145.54
  5. Step 5: Solve for x
    x = 45,446,145.54/9,698.12
  6. Step 6: Final answer
    x = 4,686.08

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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.