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Finding the Fourth Proportional to 9,528.50, 14,293.19 and 4,602.29

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Solution

The fourth proportional to 9,528.50, 14,293.19 and 4,602.29 is: 6,903.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.50 : 14,293.19 = 4,602.29 : x
  2. Step 2: Convert to fraction form
    9,528.50/14,293.19 = 4,602.29/x
  3. Step 3: Cross multiply
    9,528.50x = 14,293.19 × 4,602.29
  4. Step 4: Simplify right side
    9,528.50x = 65,781,345.44
  5. Step 5: Solve for x
    x = 65,781,345.44/9,528.50
  6. Step 6: Final answer
    x = 6,903.64

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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.