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Finding the Fourth Proportional to 9,713.02, 14,569.50 and 4,162.76

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Solution

The fourth proportional to 9,713.02, 14,569.50 and 4,162.76 is: 6,244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.02 : 14,569.50 = 4,162.76 : x
  2. Step 2: Convert to fraction form
    9,713.02/14,569.50 = 4,162.76/x
  3. Step 3: Cross multiply
    9,713.02x = 14,569.50 × 4,162.76
  4. Step 4: Simplify right side
    9,713.02x = 60,649,331.82
  5. Step 5: Solve for x
    x = 60,649,331.82/9,713.02
  6. Step 6: Final answer
    x = 6,244.13

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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.