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Finding the Fourth Proportional to 9,366.84, 12,927.06 and 5,175

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Solution

The fourth proportional to 9,366.84, 12,927.06 and 5,175 is: 7,141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366.84 : 12,927.06 = 5,175 : x
  2. Step 2: Convert to fraction form
    9,366.84/12,927.06 = 5,175/x
  3. Step 3: Cross multiply
    9,366.84x = 12,927.06 × 5,175
  4. Step 4: Simplify right side
    9,366.84x = 66,897,535.50
  5. Step 5: Solve for x
    x = 66,897,535.50/9,366.84
  6. Step 6: Final answer
    x = 7,141.95

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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.