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Finding the Fourth Proportional to 9,301, 12,837 and 5,575

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Solution

The fourth proportional to 9,301, 12,837 and 5,575 is: 7,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301 : 12,837 = 5,575 : x
  2. Step 2: Convert to fraction form
    9,301/12,837 = 5,575/x
  3. Step 3: Cross multiply
    9,301x = 12,837 × 5,575
  4. Step 4: Simplify right side
    9,301x = 71,566,275
  5. Step 5: Solve for x
    x = 71,566,275/9,301
  6. Step 6: Final answer
    x = 7,694.47

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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.