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Finding the Fourth Proportional to 9,365.84, 12,924.68 and 5,174

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Solution

The fourth proportional to 9,365.84, 12,924.68 and 5,174 is: 7,140.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.84 : 12,924.68 = 5,174 : x
  2. Step 2: Convert to fraction form
    9,365.84/12,924.68 = 5,174/x
  3. Step 3: Cross multiply
    9,365.84x = 12,924.68 × 5,174
  4. Step 4: Simplify right side
    9,365.84x = 66,872,294.32
  5. Step 5: Solve for x
    x = 66,872,294.32/9,365.84
  6. Step 6: Final answer
    x = 7,140.02

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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.