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Finding the Fourth Proportional to 9,300.65, 12,834.98 and 5,051.75

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Solution

The fourth proportional to 9,300.65, 12,834.98 and 5,051.75 is: 6,971.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.65 : 12,834.98 = 5,051.75 : x
  2. Step 2: Convert to fraction form
    9,300.65/12,834.98 = 5,051.75/x
  3. Step 3: Cross multiply
    9,300.65x = 12,834.98 × 5,051.75
  4. Step 4: Simplify right side
    9,300.65x = 64,839,092.21
  5. Step 5: Solve for x
    x = 64,839,092.21/9,300.65
  6. Step 6: Final answer
    x = 6,971.46

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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.