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Finding the Fourth Proportional to 9,290.07, 12,816 and 5,931.18

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Solution

The fourth proportional to 9,290.07, 12,816 and 5,931.18 is: 8,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.07 : 12,816 = 5,931.18 : x
  2. Step 2: Convert to fraction form
    9,290.07/12,816 = 5,931.18/x
  3. Step 3: Cross multiply
    9,290.07x = 12,816 × 5,931.18
  4. Step 4: Simplify right side
    9,290.07x = 76,014,002.88
  5. Step 5: Solve for x
    x = 76,014,002.88/9,290.07
  6. Step 6: Final answer
    x = 8,182.29

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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.