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Finding the Fourth Proportional to 9,587.78, 14,381.74 and 3,347.76

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Solution

The fourth proportional to 9,587.78, 14,381.74 and 3,347.76 is: 5,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.78 : 14,381.74 = 3,347.76 : x
  2. Step 2: Convert to fraction form
    9,587.78/14,381.74 = 3,347.76/x
  3. Step 3: Cross multiply
    9,587.78x = 14,381.74 × 3,347.76
  4. Step 4: Simplify right side
    9,587.78x = 48,146,613.90
  5. Step 5: Solve for x
    x = 48,146,613.90/9,587.78
  6. Step 6: Final answer
    x = 5,021.66

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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.