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Finding the Fourth Proportional to 9,059.65, 12,497.59 and 5,696.12

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Solution

The fourth proportional to 9,059.65, 12,497.59 and 5,696.12 is: 7,857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,059.65 : 12,497.59 = 5,696.12 : x
  2. Step 2: Convert to fraction form
    9,059.65/12,497.59 = 5,696.12/x
  3. Step 3: Cross multiply
    9,059.65x = 12,497.59 × 5,696.12
  4. Step 4: Simplify right side
    9,059.65x = 71,187,810.71
  5. Step 5: Solve for x
    x = 71,187,810.71/9,059.65
  6. Step 6: Final answer
    x = 7,857.68

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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.