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Finding the Fourth Proportional to 9,934.93, 13,710.16 and 5,458.96

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Solution

The fourth proportional to 9,934.93, 13,710.16 and 5,458.96 is: 7,533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.93 : 13,710.16 = 5,458.96 : x
  2. Step 2: Convert to fraction form
    9,934.93/13,710.16 = 5,458.96/x
  3. Step 3: Cross multiply
    9,934.93x = 13,710.16 × 5,458.96
  4. Step 4: Simplify right side
    9,934.93x = 74,843,215.03
  5. Step 5: Solve for x
    x = 74,843,215.03/9,934.93
  6. Step 6: Final answer
    x = 7,533.34

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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.