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Finding the Fourth Proportional to 9,448.95, 13,039.55 and 5,200.01

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Solution

The fourth proportional to 9,448.95, 13,039.55 and 5,200.01 is: 7,176.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.95 : 13,039.55 = 5,200.01 : x
  2. Step 2: Convert to fraction form
    9,448.95/13,039.55 = 5,200.01/x
  3. Step 3: Cross multiply
    9,448.95x = 13,039.55 × 5,200.01
  4. Step 4: Simplify right side
    9,448.95x = 67,805,813.35
  5. Step 5: Solve for x
    x = 67,805,813.35/9,448.95
  6. Step 6: Final answer
    x = 7,176.02

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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.