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Finding the Fourth Proportional to 9,817.88, 13,539.69 and 7,306.34

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Solution

The fourth proportional to 9,817.88, 13,539.69 and 7,306.34 is: 10,076.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.88 : 13,539.69 = 7,306.34 : x
  2. Step 2: Convert to fraction form
    9,817.88/13,539.69 = 7,306.34/x
  3. Step 3: Cross multiply
    9,817.88x = 13,539.69 × 7,306.34
  4. Step 4: Simplify right side
    9,817.88x = 98,925,510.94
  5. Step 5: Solve for x
    x = 98,925,510.94/9,817.88
  6. Step 6: Final answer
    x = 10,076.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.