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Finding the Fourth Proportional to 7,086.44, 9,780.90 and 4,598.12

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Solution

The fourth proportional to 7,086.44, 9,780.90 and 4,598.12 is: 6,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.44 : 9,780.90 = 4,598.12 : x
  2. Step 2: Convert to fraction form
    7,086.44/9,780.90 = 4,598.12/x
  3. Step 3: Cross multiply
    7,086.44x = 9,780.90 × 4,598.12
  4. Step 4: Simplify right side
    7,086.44x = 44,973,751.91
  5. Step 5: Solve for x
    x = 44,973,751.91/7,086.44
  6. Step 6: Final answer
    x = 6,346.45

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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.