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Finding the Fourth Proportional to 9,809.96, 14,707.74 and 4,613

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Solution

The fourth proportional to 9,809.96, 14,707.74 and 4,613 is: 6,916.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.96 : 14,707.74 = 4,613 : x
  2. Step 2: Convert to fraction form
    9,809.96/14,707.74 = 4,613/x
  3. Step 3: Cross multiply
    9,809.96x = 14,707.74 × 4,613
  4. Step 4: Simplify right side
    9,809.96x = 67,846,804.62
  5. Step 5: Solve for x
    x = 67,846,804.62/9,809.96
  6. Step 6: Final answer
    x = 6,916.11

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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.