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Finding the Fourth Proportional to 35,686.44, 53,527.50 and 9,391.14

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Solution

The fourth proportional to 35,686.44, 53,527.50 and 9,391.14 is: 14,086.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,686.44 : 53,527.50 = 9,391.14 : x
  2. Step 2: Convert to fraction form
    35,686.44/53,527.50 = 9,391.14/x
  3. Step 3: Cross multiply
    35,686.44x = 53,527.50 × 9,391.14
  4. Step 4: Simplify right side
    35,686.44x = 502,684,246.35
  5. Step 5: Solve for x
    x = 502,684,246.35/35,686.44
  6. Step 6: Final answer
    x = 14,086.14

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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.