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Finding the Fourth Proportional to 9,476, 13,077.15 and 5,284.52

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Solution

The fourth proportional to 9,476, 13,077.15 and 5,284.52 is: 7,292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476 : 13,077.15 = 5,284.52 : x
  2. Step 2: Convert to fraction form
    9,476/13,077.15 = 5,284.52/x
  3. Step 3: Cross multiply
    9,476x = 13,077.15 × 5,284.52
  4. Step 4: Simplify right side
    9,476x = 69,106,460.72
  5. Step 5: Solve for x
    x = 69,106,460.72/9,476
  6. Step 6: Final answer
    x = 7,292.79

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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.