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Finding the Fourth Proportional to 9,771.58, 13,483.98 and 5,523.01

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Solution

The fourth proportional to 9,771.58, 13,483.98 and 5,523.01 is: 7,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.58 : 13,483.98 = 5,523.01 : x
  2. Step 2: Convert to fraction form
    9,771.58/13,483.98 = 5,523.01/x
  3. Step 3: Cross multiply
    9,771.58x = 13,483.98 × 5,523.01
  4. Step 4: Simplify right side
    9,771.58x = 74,472,156.38
  5. Step 5: Solve for x
    x = 74,472,156.38/9,771.58
  6. Step 6: Final answer
    x = 7,621.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.