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Finding the Fourth Proportional to 9,072.30, 12,515.06 and 5,708.78

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Solution

The fourth proportional to 9,072.30, 12,515.06 and 5,708.78 is: 7,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.30 : 12,515.06 = 5,708.78 : x
  2. Step 2: Convert to fraction form
    9,072.30/12,515.06 = 5,708.78/x
  3. Step 3: Cross multiply
    9,072.30x = 12,515.06 × 5,708.78
  4. Step 4: Simplify right side
    9,072.30x = 71,445,690.74
  5. Step 5: Solve for x
    x = 71,445,690.74/9,072.30
  6. Step 6: Final answer
    x = 7,875.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.