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Finding the Fourth Proportional to 9,509.70, 13,122.68 and 5,260.81

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Solution

The fourth proportional to 9,509.70, 13,122.68 and 5,260.81 is: 7,259.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.70 : 13,122.68 = 5,260.81 : x
  2. Step 2: Convert to fraction form
    9,509.70/13,122.68 = 5,260.81/x
  3. Step 3: Cross multiply
    9,509.70x = 13,122.68 × 5,260.81
  4. Step 4: Simplify right side
    9,509.70x = 69,035,926.17
  5. Step 5: Solve for x
    x = 69,035,926.17/9,509.70
  6. Step 6: Final answer
    x = 7,259.53

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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.