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Finding the Fourth Proportional to 6,705.90, 9,263.16 and 5,153.40

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Solution

The fourth proportional to 6,705.90, 9,263.16 and 5,153.40 is: 7,118.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.90 : 9,263.16 = 5,153.40 : x
  2. Step 2: Convert to fraction form
    6,705.90/9,263.16 = 5,153.40/x
  3. Step 3: Cross multiply
    6,705.90x = 9,263.16 × 5,153.40
  4. Step 4: Simplify right side
    6,705.90x = 47,736,768.74
  5. Step 5: Solve for x
    x = 47,736,768.74/6,705.90
  6. Step 6: Final answer
    x = 7,118.62

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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.