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Finding the Fourth Proportional to 9,636.51, 14,442.93 and 5,480.00

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Solution

The fourth proportional to 9,636.51, 14,442.93 and 5,480.00 is: 8,213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.51 : 14,442.93 = 5,480.00 : x
  2. Step 2: Convert to fraction form
    9,636.51/14,442.93 = 5,480.00/x
  3. Step 3: Cross multiply
    9,636.51x = 14,442.93 × 5,480.00
  4. Step 4: Simplify right side
    9,636.51x = 79,147,184.19
  5. Step 5: Solve for x
    x = 79,147,184.19/9,636.51
  6. Step 6: Final answer
    x = 8,213.26

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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.