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Finding the Fourth Proportional to 9,709.74, 14,569.74 and 3,866.40

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Solution

The fourth proportional to 9,709.74, 14,569.74 and 3,866.40 is: 5,801.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.74 : 14,569.74 = 3,866.40 : x
  2. Step 2: Convert to fraction form
    9,709.74/14,569.74 = 3,866.40/x
  3. Step 3: Cross multiply
    9,709.74x = 14,569.74 × 3,866.40
  4. Step 4: Simplify right side
    9,709.74x = 56,332,442.74
  5. Step 5: Solve for x
    x = 56,332,442.74/9,709.74
  6. Step 6: Final answer
    x = 5,801.64

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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.