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Finding the Fourth Proportional to 9,005.56, 13,506.50 and 3,459.90

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Solution

The fourth proportional to 9,005.56, 13,506.50 and 3,459.90 is: 5,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.56 : 13,506.50 = 3,459.90 : x
  2. Step 2: Convert to fraction form
    9,005.56/13,506.50 = 3,459.90/x
  3. Step 3: Cross multiply
    9,005.56x = 13,506.50 × 3,459.90
  4. Step 4: Simplify right side
    9,005.56x = 46,731,139.35
  5. Step 5: Solve for x
    x = 46,731,139.35/9,005.56
  6. Step 6: Final answer
    x = 5,189.14

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Why These Related Problems?

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