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Finding the Fourth Proportional to 9,386, 14,083.86 and 4,769

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Solution

The fourth proportional to 9,386, 14,083.86 and 4,769 is: 7,155.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386 : 14,083.86 = 4,769 : x
  2. Step 2: Convert to fraction form
    9,386/14,083.86 = 4,769/x
  3. Step 3: Cross multiply
    9,386x = 14,083.86 × 4,769
  4. Step 4: Simplify right side
    9,386x = 67,165,928.34
  5. Step 5: Solve for x
    x = 67,165,928.34/9,386
  6. Step 6: Final answer
    x = 7,155.97

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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.