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Finding the Fourth Proportional to 9,674.78, 14,492.73 and 5,048.06

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Solution

The fourth proportional to 9,674.78, 14,492.73 and 5,048.06 is: 7,561.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.78 : 14,492.73 = 5,048.06 : x
  2. Step 2: Convert to fraction form
    9,674.78/14,492.73 = 5,048.06/x
  3. Step 3: Cross multiply
    9,674.78x = 14,492.73 × 5,048.06
  4. Step 4: Simplify right side
    9,674.78x = 73,160,206.84
  5. Step 5: Solve for x
    x = 73,160,206.84/9,674.78
  6. Step 6: Final answer
    x = 7,561.95

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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.