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Finding the Fourth Proportional to 9,296.40, 12,985.80 and 9,296.40

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Solution

The fourth proportional to 9,296.40, 12,985.80 and 9,296.40 is: 12,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.40 : 12,985.80 = 9,296.40 : x
  2. Step 2: Convert to fraction form
    9,296.40/12,985.80 = 9,296.40/x
  3. Step 3: Cross multiply
    9,296.40x = 12,985.80 × 9,296.40
  4. Step 4: Simplify right side
    9,296.40x = 120,721,191.12
  5. Step 5: Solve for x
    x = 120,721,191.12/9,296.40
  6. Step 6: Final answer
    x = 12,985.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.