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Finding the Fourth Proportional to 9,444.97, 13,033.89 and 6,460.70

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Solution

The fourth proportional to 9,444.97, 13,033.89 and 6,460.70 is: 8,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.97 : 13,033.89 = 6,460.70 : x
  2. Step 2: Convert to fraction form
    9,444.97/13,033.89 = 6,460.70/x
  3. Step 3: Cross multiply
    9,444.97x = 13,033.89 × 6,460.70
  4. Step 4: Simplify right side
    9,444.97x = 84,208,079.76
  5. Step 5: Solve for x
    x = 84,208,079.76/9,444.97
  6. Step 6: Final answer
    x = 8,915.65

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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.