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Finding the Fourth Proportional to 6,705.40, 9,262.48 and 5,152.90

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Solution

The fourth proportional to 6,705.40, 9,262.48 and 5,152.90 is: 7,117.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.40 : 9,262.48 = 5,152.90 : x
  2. Step 2: Convert to fraction form
    6,705.40/9,262.48 = 5,152.90/x
  3. Step 3: Cross multiply
    6,705.40x = 9,262.48 × 5,152.90
  4. Step 4: Simplify right side
    6,705.40x = 47,728,633.19
  5. Step 5: Solve for x
    x = 47,728,633.19/6,705.40
  6. Step 6: Final answer
    x = 7,117.94

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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.