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Finding the Fourth Proportional to 9,970.61, 13,759.47 and 5,994

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Solution

The fourth proportional to 9,970.61, 13,759.47 and 5,994 is: 8,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.61 : 13,759.47 = 5,994 : x
  2. Step 2: Convert to fraction form
    9,970.61/13,759.47 = 5,994/x
  3. Step 3: Cross multiply
    9,970.61x = 13,759.47 × 5,994
  4. Step 4: Simplify right side
    9,970.61x = 82,474,263.18
  5. Step 5: Solve for x
    x = 82,474,263.18/9,970.61
  6. Step 6: Final answer
    x = 8,271.74

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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.