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Finding the Fourth Proportional to 9,695.99, 14,547.78 and 4,149.21

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Solution

The fourth proportional to 9,695.99, 14,547.78 and 4,149.21 is: 6,225.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.99 : 14,547.78 = 4,149.21 : x
  2. Step 2: Convert to fraction form
    9,695.99/14,547.78 = 4,149.21/x
  3. Step 3: Cross multiply
    9,695.99x = 14,547.78 × 4,149.21
  4. Step 4: Simplify right side
    9,695.99x = 60,361,794.25
  5. Step 5: Solve for x
    x = 60,361,794.25/9,695.99
  6. Step 6: Final answer
    x = 6,225.44

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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.