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Finding the Fourth Proportional to 9,455.19, 13,048.05 and 5,206.16

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Solution

The fourth proportional to 9,455.19, 13,048.05 and 5,206.16 is: 7,184.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,455.19 : 13,048.05 = 5,206.16 : x
  2. Step 2: Convert to fraction form
    9,455.19/13,048.05 = 5,206.16/x
  3. Step 3: Cross multiply
    9,455.19x = 13,048.05 × 5,206.16
  4. Step 4: Simplify right side
    9,455.19x = 67,930,281.62
  5. Step 5: Solve for x
    x = 67,930,281.62/9,455.19
  6. Step 6: Final answer
    x = 7,184.44

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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.