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Finding the Fourth Proportional to 9,695.51, 14,543.27 and 3,122.21

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Solution

The fourth proportional to 9,695.51, 14,543.27 and 3,122.21 is: 4,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.51 : 14,543.27 = 3,122.21 : x
  2. Step 2: Convert to fraction form
    9,695.51/14,543.27 = 3,122.21/x
  3. Step 3: Cross multiply
    9,695.51x = 14,543.27 × 3,122.21
  4. Step 4: Simplify right side
    9,695.51x = 45,407,143.03
  5. Step 5: Solve for x
    x = 45,407,143.03/9,695.51
  6. Step 6: Final answer
    x = 4,683.32

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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.