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Finding the Fourth Proportional to 9,206.63, 13,809.95 and 2,281.13

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Solution

The fourth proportional to 9,206.63, 13,809.95 and 2,281.13 is: 3,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.63 : 13,809.95 = 2,281.13 : x
  2. Step 2: Convert to fraction form
    9,206.63/13,809.95 = 2,281.13/x
  3. Step 3: Cross multiply
    9,206.63x = 13,809.95 × 2,281.13
  4. Step 4: Simplify right side
    9,206.63x = 31,502,291.24
  5. Step 5: Solve for x
    x = 31,502,291.24/9,206.63
  6. Step 6: Final answer
    x = 3,421.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.