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Finding the Fourth Proportional to 9,696.65, 13,386.46 and 6,526.61

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Solution

The fourth proportional to 9,696.65, 13,386.46 and 6,526.61 is: 9,010.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.65 : 13,386.46 = 6,526.61 : x
  2. Step 2: Convert to fraction form
    9,696.65/13,386.46 = 6,526.61/x
  3. Step 3: Cross multiply
    9,696.65x = 13,386.46 × 6,526.61
  4. Step 4: Simplify right side
    9,696.65x = 87,368,203.70
  5. Step 5: Solve for x
    x = 87,368,203.70/9,696.65
  6. Step 6: Final answer
    x = 9,010.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.