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Finding the Fourth Proportional to 9,698.70, 14,538.76 and 3,120.25

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Solution

The fourth proportional to 9,698.70, 14,538.76 and 3,120.25 is: 4,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.70 : 14,538.76 = 3,120.25 : x
  2. Step 2: Convert to fraction form
    9,698.70/14,538.76 = 3,120.25/x
  3. Step 3: Cross multiply
    9,698.70x = 14,538.76 × 3,120.25
  4. Step 4: Simplify right side
    9,698.70x = 45,364,565.89
  5. Step 5: Solve for x
    x = 45,364,565.89/9,698.70
  6. Step 6: Final answer
    x = 4,677.39

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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.