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Finding the Fourth Proportional to 9,283.76, 13,915.88 and 3,042.16

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Solution

The fourth proportional to 9,283.76, 13,915.88 and 3,042.16 is: 4,560.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.76 : 13,915.88 = 3,042.16 : x
  2. Step 2: Convert to fraction form
    9,283.76/13,915.88 = 3,042.16/x
  3. Step 3: Cross multiply
    9,283.76x = 13,915.88 × 3,042.16
  4. Step 4: Simplify right side
    9,283.76x = 42,334,333.50
  5. Step 5: Solve for x
    x = 42,334,333.50/9,283.76
  6. Step 6: Final answer
    x = 4,560.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.