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Finding the Fourth Proportional to 9,484.89, 13,090.38 and 5,507.25

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Solution

The fourth proportional to 9,484.89, 13,090.38 and 5,507.25 is: 7,600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.89 : 13,090.38 = 5,507.25 : x
  2. Step 2: Convert to fraction form
    9,484.89/13,090.38 = 5,507.25/x
  3. Step 3: Cross multiply
    9,484.89x = 13,090.38 × 5,507.25
  4. Step 4: Simplify right side
    9,484.89x = 72,091,995.26
  5. Step 5: Solve for x
    x = 72,091,995.26/9,484.89
  6. Step 6: Final answer
    x = 7,600.72

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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.