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Finding the Fourth Proportional to 9,032.83, 13,547.18 and 4,350.44

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Solution

The fourth proportional to 9,032.83, 13,547.18 and 4,350.44 is: 6,524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.83 : 13,547.18 = 4,350.44 : x
  2. Step 2: Convert to fraction form
    9,032.83/13,547.18 = 4,350.44/x
  3. Step 3: Cross multiply
    9,032.83x = 13,547.18 × 4,350.44
  4. Step 4: Simplify right side
    9,032.83x = 58,936,238.50
  5. Step 5: Solve for x
    x = 58,936,238.50/9,032.83
  6. Step 6: Final answer
    x = 6,524.67

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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.