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Finding the Fourth Proportional to 7,066.35, 9,749.57 and 4,549.92

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Solution

The fourth proportional to 7,066.35, 9,749.57 and 4,549.92 is: 6,277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.35 : 9,749.57 = 4,549.92 : x
  2. Step 2: Convert to fraction form
    7,066.35/9,749.57 = 4,549.92/x
  3. Step 3: Cross multiply
    7,066.35x = 9,749.57 × 4,549.92
  4. Step 4: Simplify right side
    7,066.35x = 44,359,740.78
  5. Step 5: Solve for x
    x = 44,359,740.78/7,066.35
  6. Step 6: Final answer
    x = 6,277.60

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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.