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Finding the Fourth Proportional to 9,929.79, 13,703.38 and 5,454.03

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Solution

The fourth proportional to 9,929.79, 13,703.38 and 5,454.03 is: 7,526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.79 : 13,703.38 = 5,454.03 : x
  2. Step 2: Convert to fraction form
    9,929.79/13,703.38 = 5,454.03/x
  3. Step 3: Cross multiply
    9,929.79x = 13,703.38 × 5,454.03
  4. Step 4: Simplify right side
    9,929.79x = 74,738,683.37
  5. Step 5: Solve for x
    x = 74,738,683.37/9,929.79
  6. Step 6: Final answer
    x = 7,526.71

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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.