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Finding the Fourth Proportional to 9,176.67, 12,666.06 and 5,200.13

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Solution

The fourth proportional to 9,176.67, 12,666.06 and 5,200.13 is: 7,177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.67 : 12,666.06 = 5,200.13 : x
  2. Step 2: Convert to fraction form
    9,176.67/12,666.06 = 5,200.13/x
  3. Step 3: Cross multiply
    9,176.67x = 12,666.06 × 5,200.13
  4. Step 4: Simplify right side
    9,176.67x = 65,865,095.26
  5. Step 5: Solve for x
    x = 65,865,095.26/9,176.67
  6. Step 6: Final answer
    x = 7,177.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.