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Finding the Fourth Proportional to 9,455.40, 13,048.49 and 5,206.88

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Solution

The fourth proportional to 9,455.40, 13,048.49 and 5,206.88 is: 7,185.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,455.40 : 13,048.49 = 5,206.88 : x
  2. Step 2: Convert to fraction form
    9,455.40/13,048.49 = 5,206.88/x
  3. Step 3: Cross multiply
    9,455.40x = 13,048.49 × 5,206.88
  4. Step 4: Simplify right side
    9,455.40x = 67,941,967.25
  5. Step 5: Solve for x
    x = 67,941,967.25/9,455.40
  6. Step 6: Final answer
    x = 7,185.52

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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.