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Finding the Fourth Proportional to 9,460.53, 13,055.77 and 5,268.85

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Solution

The fourth proportional to 9,460.53, 13,055.77 and 5,268.85 is: 7,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.53 : 13,055.77 = 5,268.85 : x
  2. Step 2: Convert to fraction form
    9,460.53/13,055.77 = 5,268.85/x
  3. Step 3: Cross multiply
    9,460.53x = 13,055.77 × 5,268.85
  4. Step 4: Simplify right side
    9,460.53x = 68,788,867.42
  5. Step 5: Solve for x
    x = 68,788,867.42/9,460.53
  6. Step 6: Final answer
    x = 7,271.14

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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.