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Finding the Fourth Proportional to 9,604, 14,382.78 and 4,661.38

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Solution

The fourth proportional to 9,604, 14,382.78 and 4,661.38 is: 6,980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604 : 14,382.78 = 4,661.38 : x
  2. Step 2: Convert to fraction form
    9,604/14,382.78 = 4,661.38/x
  3. Step 3: Cross multiply
    9,604x = 14,382.78 × 4,661.38
  4. Step 4: Simplify right side
    9,604x = 67,043,603.04
  5. Step 5: Solve for x
    x = 67,043,603.04/9,604
  6. Step 6: Final answer
    x = 6,980.80

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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.