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Finding the Fourth Proportional to 9,813.39, 13,535.25 and 6,038.58

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Solution

The fourth proportional to 9,813.39, 13,535.25 and 6,038.58 is: 8,328.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.39 : 13,535.25 = 6,038.58 : x
  2. Step 2: Convert to fraction form
    9,813.39/13,535.25 = 6,038.58/x
  3. Step 3: Cross multiply
    9,813.39x = 13,535.25 × 6,038.58
  4. Step 4: Simplify right side
    9,813.39x = 81,733,689.95
  5. Step 5: Solve for x
    x = 81,733,689.95/9,813.39
  6. Step 6: Final answer
    x = 8,328.79

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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.