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Finding the Fourth Proportional to 9,829.59, 14,751.51 and 7,371.03

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Solution

The fourth proportional to 9,829.59, 14,751.51 and 7,371.03 is: 11,061.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.59 : 14,751.51 = 7,371.03 : x
  2. Step 2: Convert to fraction form
    9,829.59/14,751.51 = 7,371.03/x
  3. Step 3: Cross multiply
    9,829.59x = 14,751.51 × 7,371.03
  4. Step 4: Simplify right side
    9,829.59x = 108,733,822.76
  5. Step 5: Solve for x
    x = 108,733,822.76/9,829.59
  6. Step 6: Final answer
    x = 11,061.89

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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.