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Finding the Fourth Proportional to 9,034.90, 12,468.15 and 5,056.77

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Solution

The fourth proportional to 9,034.90, 12,468.15 and 5,056.77 is: 6,978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.90 : 12,468.15 = 5,056.77 : x
  2. Step 2: Convert to fraction form
    9,034.90/12,468.15 = 5,056.77/x
  3. Step 3: Cross multiply
    9,034.90x = 12,468.15 × 5,056.77
  4. Step 4: Simplify right side
    9,034.90x = 63,048,566.88
  5. Step 5: Solve for x
    x = 63,048,566.88/9,034.90
  6. Step 6: Final answer
    x = 6,978.34

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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.