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Finding the Fourth Proportional to 9,642.32, 13,307.07 and 5,393.77

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Solution

The fourth proportional to 9,642.32, 13,307.07 and 5,393.77 is: 7,443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.32 : 13,307.07 = 5,393.77 : x
  2. Step 2: Convert to fraction form
    9,642.32/13,307.07 = 5,393.77/x
  3. Step 3: Cross multiply
    9,642.32x = 13,307.07 × 5,393.77
  4. Step 4: Simplify right side
    9,642.32x = 71,775,261.91
  5. Step 5: Solve for x
    x = 71,775,261.91/9,642.32
  6. Step 6: Final answer
    x = 7,443.78

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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.