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Finding the Fourth Proportional to 9,812.74, 14,710.81 and 4,261.89

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Solution

The fourth proportional to 9,812.74, 14,710.81 and 4,261.89 is: 6,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.74 : 14,710.81 = 4,261.89 : x
  2. Step 2: Convert to fraction form
    9,812.74/14,710.81 = 4,261.89/x
  3. Step 3: Cross multiply
    9,812.74x = 14,710.81 × 4,261.89
  4. Step 4: Simplify right side
    9,812.74x = 62,695,854.03
  5. Step 5: Solve for x
    x = 62,695,854.03/9,812.74
  6. Step 6: Final answer
    x = 6,389.23

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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.