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Finding the Fourth Proportional to 7,024.84, 9,696.21 and 4,370.67

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Solution

The fourth proportional to 7,024.84, 9,696.21 and 4,370.67 is: 6,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.84 : 9,696.21 = 4,370.67 : x
  2. Step 2: Convert to fraction form
    7,024.84/9,696.21 = 4,370.67/x
  3. Step 3: Cross multiply
    7,024.84x = 9,696.21 × 4,370.67
  4. Step 4: Simplify right side
    7,024.84x = 42,378,885.68
  5. Step 5: Solve for x
    x = 42,378,885.68/7,024.84
  6. Step 6: Final answer
    x = 6,032.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.