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Finding the Fourth Proportional to 9,290.37, 12,820.25 and 5,041.32

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Solution

The fourth proportional to 9,290.37, 12,820.25 and 5,041.32 is: 6,956.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.37 : 12,820.25 = 5,041.32 : x
  2. Step 2: Convert to fraction form
    9,290.37/12,820.25 = 5,041.32/x
  3. Step 3: Cross multiply
    9,290.37x = 12,820.25 × 5,041.32
  4. Step 4: Simplify right side
    9,290.37x = 64,630,957.52
  5. Step 5: Solve for x
    x = 64,630,957.52/9,290.37
  6. Step 6: Final answer
    x = 6,956.77

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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.