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Finding the Fourth Proportional to 9,597.06, 14,395.68 and 9,392.94

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Solution

The fourth proportional to 9,597.06, 14,395.68 and 9,392.94 is: 14,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.06 : 14,395.68 = 9,392.94 : x
  2. Step 2: Convert to fraction form
    9,597.06/14,395.68 = 9,392.94/x
  3. Step 3: Cross multiply
    9,597.06x = 14,395.68 × 9,392.94
  4. Step 4: Simplify right side
    9,597.06x = 135,217,758.50
  5. Step 5: Solve for x
    x = 135,217,758.50/9,597.06
  6. Step 6: Final answer
    x = 14,089.50

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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.