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Finding the Fourth Proportional to 9,970.34, 13,759.14 and 5,721.58

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Solution

The fourth proportional to 9,970.34, 13,759.14 and 5,721.58 is: 7,895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.34 : 13,759.14 = 5,721.58 : x
  2. Step 2: Convert to fraction form
    9,970.34/13,759.14 = 5,721.58/x
  3. Step 3: Cross multiply
    9,970.34x = 13,759.14 × 5,721.58
  4. Step 4: Simplify right side
    9,970.34x = 78,724,020.24
  5. Step 5: Solve for x
    x = 78,724,020.24/9,970.34
  6. Step 6: Final answer
    x = 7,895.82

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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.