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Finding the Fourth Proportional to 9,475.48, 13,078.77 and 5,497.88

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Solution

The fourth proportional to 9,475.48, 13,078.77 and 5,497.88 is: 7,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.48 : 13,078.77 = 5,497.88 : x
  2. Step 2: Convert to fraction form
    9,475.48/13,078.77 = 5,497.88/x
  3. Step 3: Cross multiply
    9,475.48x = 13,078.77 × 5,497.88
  4. Step 4: Simplify right side
    9,475.48x = 71,905,422.00
  5. Step 5: Solve for x
    x = 71,905,422.00/9,475.48
  6. Step 6: Final answer
    x = 7,588.58

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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.