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Finding the Fourth Proportional to 10,038.09, 13,854.24 and 6,806.46

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Solution

The fourth proportional to 10,038.09, 13,854.24 and 6,806.46 is: 9,394.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.09 : 13,854.24 = 6,806.46 : x
  2. Step 2: Convert to fraction form
    10,038.09/13,854.24 = 6,806.46/x
  3. Step 3: Cross multiply
    10,038.09x = 13,854.24 × 6,806.46
  4. Step 4: Simplify right side
    10,038.09x = 94,298,330.39
  5. Step 5: Solve for x
    x = 94,298,330.39/10,038.09
  6. Step 6: Final answer
    x = 9,394.05

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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.