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Finding the Fourth Proportional to 6,870.85, 9,475.52 and 5,810.84

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Solution

The fourth proportional to 6,870.85, 9,475.52 and 5,810.84 is: 8,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.85 : 9,475.52 = 5,810.84 : x
  2. Step 2: Convert to fraction form
    6,870.85/9,475.52 = 5,810.84/x
  3. Step 3: Cross multiply
    6,870.85x = 9,475.52 × 5,810.84
  4. Step 4: Simplify right side
    6,870.85x = 55,060,744.23
  5. Step 5: Solve for x
    x = 55,060,744.23/6,870.85
  6. Step 6: Final answer
    x = 8,013.67

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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.