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Finding the Fourth Proportional to 9,597, 14,397.29 and 3,356.87

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Solution

The fourth proportional to 9,597, 14,397.29 and 3,356.87 is: 5,035.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597 : 14,397.29 = 3,356.87 : x
  2. Step 2: Convert to fraction form
    9,597/14,397.29 = 3,356.87/x
  3. Step 3: Cross multiply
    9,597x = 14,397.29 × 3,356.87
  4. Step 4: Simplify right side
    9,597x = 48,329,742.11
  5. Step 5: Solve for x
    x = 48,329,742.11/9,597
  6. Step 6: Final answer
    x = 5,035.92

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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.