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Finding the Fourth Proportional to 27,347.34, 40,996.35 and 9,813.06

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Solution

The fourth proportional to 27,347.34, 40,996.35 and 9,813.06 is: 14,710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,347.34 : 40,996.35 = 9,813.06 : x
  2. Step 2: Convert to fraction form
    27,347.34/40,996.35 = 9,813.06/x
  3. Step 3: Cross multiply
    27,347.34x = 40,996.35 × 9,813.06
  4. Step 4: Simplify right side
    27,347.34x = 402,299,642.33
  5. Step 5: Solve for x
    x = 402,299,642.33/27,347.34
  6. Step 6: Final answer
    x = 14,710.74

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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.