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Finding the Fourth Proportional to 35,783.47, 53,676.42 and 9,490.87

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Solution

The fourth proportional to 35,783.47, 53,676.42 and 9,490.87 is: 14,236.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,783.47 : 53,676.42 = 9,490.87 : x
  2. Step 2: Convert to fraction form
    35,783.47/53,676.42 = 9,490.87/x
  3. Step 3: Cross multiply
    35,783.47x = 53,676.42 × 9,490.87
  4. Step 4: Simplify right side
    35,783.47x = 509,435,608.45
  5. Step 5: Solve for x
    x = 509,435,608.45/35,783.47
  6. Step 6: Final answer
    x = 14,236.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.