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Finding the Fourth Proportional to 9,038, 12,473.52 and 5,312

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Solution

The fourth proportional to 9,038, 12,473.52 and 5,312 is: 7,331.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038 : 12,473.52 = 5,312 : x
  2. Step 2: Convert to fraction form
    9,038/12,473.52 = 5,312/x
  3. Step 3: Cross multiply
    9,038x = 12,473.52 × 5,312
  4. Step 4: Simplify right side
    9,038x = 66,259,338.24
  5. Step 5: Solve for x
    x = 66,259,338.24/9,038
  6. Step 6: Final answer
    x = 7,331.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.