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Finding the Fourth Proportional to 9,071.02, 13,610.43 and 4,914

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Solution

The fourth proportional to 9,071.02, 13,610.43 and 4,914 is: 7,373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.02 : 13,610.43 = 4,914 : x
  2. Step 2: Convert to fraction form
    9,071.02/13,610.43 = 4,914/x
  3. Step 3: Cross multiply
    9,071.02x = 13,610.43 × 4,914
  4. Step 4: Simplify right side
    9,071.02x = 66,881,653.02
  5. Step 5: Solve for x
    x = 66,881,653.02/9,071.02
  6. Step 6: Final answer
    x = 7,373.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.