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Finding the Fourth Proportional to 9,551.82, 13,176.06 and 5,572.50

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Solution

The fourth proportional to 9,551.82, 13,176.06 and 5,572.50 is: 7,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.82 : 13,176.06 = 5,572.50 : x
  2. Step 2: Convert to fraction form
    9,551.82/13,176.06 = 5,572.50/x
  3. Step 3: Cross multiply
    9,551.82x = 13,176.06 × 5,572.50
  4. Step 4: Simplify right side
    9,551.82x = 73,423,594.35
  5. Step 5: Solve for x
    x = 73,423,594.35/9,551.82
  6. Step 6: Final answer
    x = 7,686.87

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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.