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Finding the Fourth Proportional to 9,292, 13,929.79 and 7,110.46

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Solution

The fourth proportional to 9,292, 13,929.79 and 7,110.46 is: 10,659.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292 : 13,929.79 = 7,110.46 : x
  2. Step 2: Convert to fraction form
    9,292/13,929.79 = 7,110.46/x
  3. Step 3: Cross multiply
    9,292x = 13,929.79 × 7,110.46
  4. Step 4: Simplify right side
    9,292x = 99,047,214.60
  5. Step 5: Solve for x
    x = 99,047,214.60/9,292
  6. Step 6: Final answer
    x = 10,659.41

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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.