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Finding the Fourth Proportional to 9,707.46, 13,396.59 and 5,731.98

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Solution

The fourth proportional to 9,707.46, 13,396.59 and 5,731.98 is: 7,910.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.46 : 13,396.59 = 5,731.98 : x
  2. Step 2: Convert to fraction form
    9,707.46/13,396.59 = 5,731.98/x
  3. Step 3: Cross multiply
    9,707.46x = 13,396.59 × 5,731.98
  4. Step 4: Simplify right side
    9,707.46x = 76,788,985.95
  5. Step 5: Solve for x
    x = 76,788,985.95/9,707.46
  6. Step 6: Final answer
    x = 7,910.31

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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.