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Finding the Fourth Proportional to 9,465.68, 13,061.44 and 5,486.24

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Solution

The fourth proportional to 9,465.68, 13,061.44 and 5,486.24 is: 7,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.68 : 13,061.44 = 5,486.24 : x
  2. Step 2: Convert to fraction form
    9,465.68/13,061.44 = 5,486.24/x
  3. Step 3: Cross multiply
    9,465.68x = 13,061.44 × 5,486.24
  4. Step 4: Simplify right side
    9,465.68x = 71,658,194.59
  5. Step 5: Solve for x
    x = 71,658,194.59/9,465.68
  6. Step 6: Final answer
    x = 7,570.32

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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.