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Finding the Fourth Proportional to 10,009.39, 13,812.96 and 6,030.67

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Solution

The fourth proportional to 10,009.39, 13,812.96 and 6,030.67 is: 8,322.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.39 : 13,812.96 = 6,030.67 : x
  2. Step 2: Convert to fraction form
    10,009.39/13,812.96 = 6,030.67/x
  3. Step 3: Cross multiply
    10,009.39x = 13,812.96 × 6,030.67
  4. Step 4: Simplify right side
    10,009.39x = 83,301,403.48
  5. Step 5: Solve for x
    x = 83,301,403.48/10,009.39
  6. Step 6: Final answer
    x = 8,322.33

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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.