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Finding the Fourth Proportional to 35,647.40, 53,467 and 9,354.20

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Solution

The fourth proportional to 35,647.40, 53,467 and 9,354.20 is: 14,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,647.40 : 53,467 = 9,354.20 : x
  2. Step 2: Convert to fraction form
    35,647.40/53,467 = 9,354.20/x
  3. Step 3: Cross multiply
    35,647.40x = 53,467 × 9,354.20
  4. Step 4: Simplify right side
    35,647.40x = 500,140,744.07
  5. Step 5: Solve for x
    x = 500,140,744.07/35,647.40
  6. Step 6: Final answer
    x = 14,030.22

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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.