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Finding the Fourth Proportional to 9,298.40, 13,040.80 and 9,298.40

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Solution

The fourth proportional to 9,298.40, 13,040.80 and 9,298.40 is: 13,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.40 : 13,040.80 = 9,298.40 : x
  2. Step 2: Convert to fraction form
    9,298.40/13,040.80 = 9,298.40/x
  3. Step 3: Cross multiply
    9,298.40x = 13,040.80 × 9,298.40
  4. Step 4: Simplify right side
    9,298.40x = 121,258,574.72
  5. Step 5: Solve for x
    x = 121,258,574.72/9,298.40
  6. Step 6: Final answer
    x = 13,040.80

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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.