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Finding the Fourth Proportional to 9,032.16, 13,524 and 8,750.40

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Solution

The fourth proportional to 9,032.16, 13,524 and 8,750.40 is: 13,102.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.16 : 13,524 = 8,750.40 : x
  2. Step 2: Convert to fraction form
    9,032.16/13,524 = 8,750.40/x
  3. Step 3: Cross multiply
    9,032.16x = 13,524 × 8,750.40
  4. Step 4: Simplify right side
    9,032.16x = 118,340,409.60
  5. Step 5: Solve for x
    x = 118,340,409.60/9,032.16
  6. Step 6: Final answer
    x = 13,102.12

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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.