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Finding the Fourth Proportional to 10,346.69, 15,440.52 and 9,239.46

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Solution

The fourth proportional to 10,346.69, 15,440.52 and 9,239.46 is: 13,788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346.69 : 15,440.52 = 9,239.46 : x
  2. Step 2: Convert to fraction form
    10,346.69/15,440.52 = 9,239.46/x
  3. Step 3: Cross multiply
    10,346.69x = 15,440.52 × 9,239.46
  4. Step 4: Simplify right side
    10,346.69x = 142,662,066.92
  5. Step 5: Solve for x
    x = 142,662,066.92/10,346.69
  6. Step 6: Final answer
    x = 13,788.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.