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Finding the Fourth Proportional to 9,642.02, 13,305.93 and 5,393.06

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Solution

The fourth proportional to 9,642.02, 13,305.93 and 5,393.06 is: 7,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.02 : 13,305.93 = 5,393.06 : x
  2. Step 2: Convert to fraction form
    9,642.02/13,305.93 = 5,393.06/x
  3. Step 3: Cross multiply
    9,642.02x = 13,305.93 × 5,393.06
  4. Step 4: Simplify right side
    9,642.02x = 71,759,732.00
  5. Step 5: Solve for x
    x = 71,759,732.00/9,642.02
  6. Step 6: Final answer
    x = 7,442.40

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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.