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Finding the Fourth Proportional to 9,698.69, 14,535.88 and 4,145.53

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Solution

The fourth proportional to 9,698.69, 14,535.88 and 4,145.53 is: 6,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.69 : 14,535.88 = 4,145.53 : x
  2. Step 2: Convert to fraction form
    9,698.69/14,535.88 = 4,145.53/x
  3. Step 3: Cross multiply
    9,698.69x = 14,535.88 × 4,145.53
  4. Step 4: Simplify right side
    9,698.69x = 60,258,918.83
  5. Step 5: Solve for x
    x = 60,258,918.83/9,698.69
  6. Step 6: Final answer
    x = 6,213.10

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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.