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Finding the Fourth Proportional to 35,706.44, 53,562.29 and 9,411

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Solution

The fourth proportional to 35,706.44, 53,562.29 and 9,411 is: 14,117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,706.44 : 53,562.29 = 9,411 : x
  2. Step 2: Convert to fraction form
    35,706.44/53,562.29 = 9,411/x
  3. Step 3: Cross multiply
    35,706.44x = 53,562.29 × 9,411
  4. Step 4: Simplify right side
    35,706.44x = 504,074,664.14
  5. Step 5: Solve for x
    x = 504,074,664.14/35,706.44
  6. Step 6: Final answer
    x = 14,117.19

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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.