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Finding the Fourth Proportional to 9,464.40, 13,071.15 and 7,365.15

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Solution

The fourth proportional to 9,464.40, 13,071.15 and 7,365.15 is: 10,171.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.40 : 13,071.15 = 7,365.15 : x
  2. Step 2: Convert to fraction form
    9,464.40/13,071.15 = 7,365.15/x
  3. Step 3: Cross multiply
    9,464.40x = 13,071.15 × 7,365.15
  4. Step 4: Simplify right side
    9,464.40x = 96,270,980.42
  5. Step 5: Solve for x
    x = 96,270,980.42/9,464.40
  6. Step 6: Final answer
    x = 10,171.91

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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.