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Finding the Fourth Proportional to 9,038.16, 12,467.88 and 5,310

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Solution

The fourth proportional to 9,038.16, 12,467.88 and 5,310 is: 7,324.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.16 : 12,467.88 = 5,310 : x
  2. Step 2: Convert to fraction form
    9,038.16/12,467.88 = 5,310/x
  3. Step 3: Cross multiply
    9,038.16x = 12,467.88 × 5,310
  4. Step 4: Simplify right side
    9,038.16x = 66,204,442.80
  5. Step 5: Solve for x
    x = 66,204,442.80/9,038.16
  6. Step 6: Final answer
    x = 7,324.99

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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.