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Finding the Fourth Proportional to 9,937.04, 13,713.18 and 5,461.16

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Solution

The fourth proportional to 9,937.04, 13,713.18 and 5,461.16 is: 7,536.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.04 : 13,713.18 = 5,461.16 : x
  2. Step 2: Convert to fraction form
    9,937.04/13,713.18 = 5,461.16/x
  3. Step 3: Cross multiply
    9,937.04x = 13,713.18 × 5,461.16
  4. Step 4: Simplify right side
    9,937.04x = 74,889,870.09
  5. Step 5: Solve for x
    x = 74,889,870.09/9,937.04
  6. Step 6: Final answer
    x = 7,536.44

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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.