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Finding the Fourth Proportional to 35,606.80, 53,406.15 and 9,314.20

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Solution

The fourth proportional to 35,606.80, 53,406.15 and 9,314.20 is: 13,970.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,606.80 : 53,406.15 = 9,314.20 : x
  2. Step 2: Convert to fraction form
    35,606.80/53,406.15 = 9,314.20/x
  3. Step 3: Cross multiply
    35,606.80x = 53,406.15 × 9,314.20
  4. Step 4: Simplify right side
    35,606.80x = 497,435,562.33
  5. Step 5: Solve for x
    x = 497,435,562.33/35,606.80
  6. Step 6: Final answer
    x = 13,970.24

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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.