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Finding the Fourth Proportional to 6,465.84, 9,696.33 and 5,095.32

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Solution

The fourth proportional to 6,465.84, 9,696.33 and 5,095.32 is: 7,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.84 : 9,696.33 = 5,095.32 : x
  2. Step 2: Convert to fraction form
    6,465.84/9,696.33 = 5,095.32/x
  3. Step 3: Cross multiply
    6,465.84x = 9,696.33 × 5,095.32
  4. Step 4: Simplify right side
    6,465.84x = 49,405,904.18
  5. Step 5: Solve for x
    x = 49,405,904.18/6,465.84
  6. Step 6: Final answer
    x = 7,641.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.