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Finding the Fourth Proportional to 9,307.38, 12,838.98 and 5,719.84

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Solution

The fourth proportional to 9,307.38, 12,838.98 and 5,719.84 is: 7,890.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.38 : 12,838.98 = 5,719.84 : x
  2. Step 2: Convert to fraction form
    9,307.38/12,838.98 = 5,719.84/x
  3. Step 3: Cross multiply
    9,307.38x = 12,838.98 × 5,719.84
  4. Step 4: Simplify right side
    9,307.38x = 73,436,911.36
  5. Step 5: Solve for x
    x = 73,436,911.36/9,307.38
  6. Step 6: Final answer
    x = 7,890.18

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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.