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Finding the Fourth Proportional to 35,657.87, 53,486.80 and 9,362.57

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Solution

The fourth proportional to 35,657.87, 53,486.80 and 9,362.57 is: 14,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,657.87 : 53,486.80 = 9,362.57 : x
  2. Step 2: Convert to fraction form
    35,657.87/53,486.80 = 9,362.57/x
  3. Step 3: Cross multiply
    35,657.87x = 53,486.80 × 9,362.57
  4. Step 4: Simplify right side
    35,657.87x = 500,773,618.24
  5. Step 5: Solve for x
    x = 500,773,618.24/35,657.87
  6. Step 6: Final answer
    x = 14,043.85

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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.