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Finding the Fourth Proportional to 9,713.90, 13,405.06 and 5,464.95

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Solution

The fourth proportional to 9,713.90, 13,405.06 and 5,464.95 is: 7,541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.90 : 13,405.06 = 5,464.95 : x
  2. Step 2: Convert to fraction form
    9,713.90/13,405.06 = 5,464.95/x
  3. Step 3: Cross multiply
    9,713.90x = 13,405.06 × 5,464.95
  4. Step 4: Simplify right side
    9,713.90x = 73,257,968.98
  5. Step 5: Solve for x
    x = 73,257,968.98/9,713.90
  6. Step 6: Final answer
    x = 7,541.56

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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.