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Finding the Fourth Proportional to 9,476, 13,076.88 and 5,284.16

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Solution

The fourth proportional to 9,476, 13,076.88 and 5,284.16 is: 7,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476 : 13,076.88 = 5,284.16 : x
  2. Step 2: Convert to fraction form
    9,476/13,076.88 = 5,284.16/x
  3. Step 3: Cross multiply
    9,476x = 13,076.88 × 5,284.16
  4. Step 4: Simplify right side
    9,476x = 69,100,326.22
  5. Step 5: Solve for x
    x = 69,100,326.22/9,476
  6. Step 6: Final answer
    x = 7,292.14

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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.