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Finding the Fourth Proportional to 7,085.70, 9,780.44 and 4,567.81

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Solution

The fourth proportional to 7,085.70, 9,780.44 and 4,567.81 is: 6,304.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.70 : 9,780.44 = 4,567.81 : x
  2. Step 2: Convert to fraction form
    7,085.70/9,780.44 = 4,567.81/x
  3. Step 3: Cross multiply
    7,085.70x = 9,780.44 × 4,567.81
  4. Step 4: Simplify right side
    7,085.70x = 44,675,191.64
  5. Step 5: Solve for x
    x = 44,675,191.64/7,085.70
  6. Step 6: Final answer
    x = 6,304.98

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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.