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Finding the Fourth Proportional to 9,608.44, 14,386.70 and 4,981.72

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Solution

The fourth proportional to 9,608.44, 14,386.70 and 4,981.72 is: 7,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.44 : 14,386.70 = 4,981.72 : x
  2. Step 2: Convert to fraction form
    9,608.44/14,386.70 = 4,981.72/x
  3. Step 3: Cross multiply
    9,608.44x = 14,386.70 × 4,981.72
  4. Step 4: Simplify right side
    9,608.44x = 71,670,511.12
  5. Step 5: Solve for x
    x = 71,670,511.12/9,608.44
  6. Step 6: Final answer
    x = 7,459.12

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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.