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Finding the Fourth Proportional to 9,288.46, 12,823.05 and 7,159.32

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Solution

The fourth proportional to 9,288.46, 12,823.05 and 7,159.32 is: 9,883.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.46 : 12,823.05 = 7,159.32 : x
  2. Step 2: Convert to fraction form
    9,288.46/12,823.05 = 7,159.32/x
  3. Step 3: Cross multiply
    9,288.46x = 12,823.05 × 7,159.32
  4. Step 4: Simplify right side
    9,288.46x = 91,804,318.33
  5. Step 5: Solve for x
    x = 91,804,318.33/9,288.46
  6. Step 6: Final answer
    x = 9,883.70

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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.