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Finding the Fourth Proportional to 9,089.38, 12,533.88 and 7,197.94

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Solution

The fourth proportional to 9,089.38, 12,533.88 and 7,197.94 is: 9,925.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.38 : 12,533.88 = 7,197.94 : x
  2. Step 2: Convert to fraction form
    9,089.38/12,533.88 = 7,197.94/x
  3. Step 3: Cross multiply
    9,089.38x = 12,533.88 × 7,197.94
  4. Step 4: Simplify right side
    9,089.38x = 90,218,116.21
  5. Step 5: Solve for x
    x = 90,218,116.21/9,089.38
  6. Step 6: Final answer
    x = 9,925.66

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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.