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Finding the Fourth Proportional to 7,065.85, 9,748.88 and 4,549.42

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Solution

The fourth proportional to 7,065.85, 9,748.88 and 4,549.42 is: 6,276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.85 : 9,748.88 = 4,549.42 : x
  2. Step 2: Convert to fraction form
    7,065.85/9,748.88 = 4,549.42/x
  3. Step 3: Cross multiply
    7,065.85x = 9,748.88 × 4,549.42
  4. Step 4: Simplify right side
    7,065.85x = 44,351,749.65
  5. Step 5: Solve for x
    x = 44,351,749.65/7,065.85
  6. Step 6: Final answer
    x = 6,276.92

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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.