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Finding the Fourth Proportional to 9,550, 14,328.65 and 3,707.07

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Solution

The fourth proportional to 9,550, 14,328.65 and 3,707.07 is: 5,562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550 : 14,328.65 = 3,707.07 : x
  2. Step 2: Convert to fraction form
    9,550/14,328.65 = 3,707.07/x
  3. Step 3: Cross multiply
    9,550x = 14,328.65 × 3,707.07
  4. Step 4: Simplify right side
    9,550x = 53,117,308.56
  5. Step 5: Solve for x
    x = 53,117,308.56/9,550
  6. Step 6: Final answer
    x = 5,562.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.