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Finding the Fourth Proportional to 9,726.76, 14,564.94 and 7,083.40

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Solution

The fourth proportional to 9,726.76, 14,564.94 and 7,083.40 is: 10,606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.76 : 14,564.94 = 7,083.40 : x
  2. Step 2: Convert to fraction form
    9,726.76/14,564.94 = 7,083.40/x
  3. Step 3: Cross multiply
    9,726.76x = 14,564.94 × 7,083.40
  4. Step 4: Simplify right side
    9,726.76x = 103,169,296.00
  5. Step 5: Solve for x
    x = 103,169,296.00/9,726.76
  6. Step 6: Final answer
    x = 10,606.75

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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.