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Finding the Fourth Proportional to 9,237, 12,747.06 and 5,045.28

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Solution

The fourth proportional to 9,237, 12,747.06 and 5,045.28 is: 6,962.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237 : 12,747.06 = 5,045.28 : x
  2. Step 2: Convert to fraction form
    9,237/12,747.06 = 5,045.28/x
  3. Step 3: Cross multiply
    9,237x = 12,747.06 × 5,045.28
  4. Step 4: Simplify right side
    9,237x = 64,312,486.88
  5. Step 5: Solve for x
    x = 64,312,486.88/9,237
  6. Step 6: Final answer
    x = 6,962.49

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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.