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Finding the Fourth Proportional to 9,459.23, 13,051.74 and 5,480.10

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Solution

The fourth proportional to 9,459.23, 13,051.74 and 5,480.10 is: 7,561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.23 : 13,051.74 = 5,480.10 : x
  2. Step 2: Convert to fraction form
    9,459.23/13,051.74 = 5,480.10/x
  3. Step 3: Cross multiply
    9,459.23x = 13,051.74 × 5,480.10
  4. Step 4: Simplify right side
    9,459.23x = 71,524,840.37
  5. Step 5: Solve for x
    x = 71,524,840.37/9,459.23
  6. Step 6: Final answer
    x = 7,561.38

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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.