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Finding the Fourth Proportional to 9,598.74, 14,388.81 and 4,920.95

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Solution

The fourth proportional to 9,598.74, 14,388.81 and 4,920.95 is: 7,376.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.74 : 14,388.81 = 4,920.95 : x
  2. Step 2: Convert to fraction form
    9,598.74/14,388.81 = 4,920.95/x
  3. Step 3: Cross multiply
    9,598.74x = 14,388.81 × 4,920.95
  4. Step 4: Simplify right side
    9,598.74x = 70,806,632.09
  5. Step 5: Solve for x
    x = 70,806,632.09/9,598.74
  6. Step 6: Final answer
    x = 7,376.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.