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Finding the Fourth Proportional to 9,913.26, 14,858.54 and 4,062.63

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Solution

The fourth proportional to 9,913.26, 14,858.54 and 4,062.63 is: 6,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.26 : 14,858.54 = 4,062.63 : x
  2. Step 2: Convert to fraction form
    9,913.26/14,858.54 = 4,062.63/x
  3. Step 3: Cross multiply
    9,913.26x = 14,858.54 × 4,062.63
  4. Step 4: Simplify right side
    9,913.26x = 60,364,750.36
  5. Step 5: Solve for x
    x = 60,364,750.36/9,913.26
  6. Step 6: Final answer
    x = 6,089.29

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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.