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Finding the Fourth Proportional to 9,347.09, 14,013.66 and 5,648.48

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Solution

The fourth proportional to 9,347.09, 14,013.66 and 5,648.48 is: 8,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.09 : 14,013.66 = 5,648.48 : x
  2. Step 2: Convert to fraction form
    9,347.09/14,013.66 = 5,648.48/x
  3. Step 3: Cross multiply
    9,347.09x = 14,013.66 × 5,648.48
  4. Step 4: Simplify right side
    9,347.09x = 79,155,878.24
  5. Step 5: Solve for x
    x = 79,155,878.24/9,347.09
  6. Step 6: Final answer
    x = 8,468.50

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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.