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Finding the Fourth Proportional to 9,397.76, 14,093.76 and 2,471.36

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Solution

The fourth proportional to 9,397.76, 14,093.76 and 2,471.36 is: 3,706.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.76 : 14,093.76 = 2,471.36 : x
  2. Step 2: Convert to fraction form
    9,397.76/14,093.76 = 2,471.36/x
  3. Step 3: Cross multiply
    9,397.76x = 14,093.76 × 2,471.36
  4. Step 4: Simplify right side
    9,397.76x = 34,830,754.71
  5. Step 5: Solve for x
    x = 34,830,754.71/9,397.76
  6. Step 6: Final answer
    x = 3,706.28

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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.