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Finding the Fourth Proportional to 35,783.97, 53,675.95 and 9,490.76

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Solution

The fourth proportional to 35,783.97, 53,675.95 and 9,490.76 is: 14,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,783.97 : 53,675.95 = 9,490.76 : x
  2. Step 2: Convert to fraction form
    35,783.97/53,675.95 = 9,490.76/x
  3. Step 3: Cross multiply
    35,783.97x = 53,675.95 × 9,490.76
  4. Step 4: Simplify right side
    35,783.97x = 509,425,559.22
  5. Step 5: Solve for x
    x = 509,425,559.22/35,783.97
  6. Step 6: Final answer
    x = 14,236.14

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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.