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Finding the Fourth Proportional to 7,055.08, 9,742.20 and 4,406.98

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Solution

The fourth proportional to 7,055.08, 9,742.20 and 4,406.98 is: 6,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.08 : 9,742.20 = 4,406.98 : x
  2. Step 2: Convert to fraction form
    7,055.08/9,742.20 = 4,406.98/x
  3. Step 3: Cross multiply
    7,055.08x = 9,742.20 × 4,406.98
  4. Step 4: Simplify right side
    7,055.08x = 42,933,680.56
  5. Step 5: Solve for x
    x = 42,933,680.56/7,055.08
  6. Step 6: Final answer
    x = 6,085.50

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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.