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Finding the Fourth Proportional to 9,300, 12,834.60 and 5,322.40

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Solution

The fourth proportional to 9,300, 12,834.60 and 5,322.40 is: 7,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300 : 12,834.60 = 5,322.40 : x
  2. Step 2: Convert to fraction form
    9,300/12,834.60 = 5,322.40/x
  3. Step 3: Cross multiply
    9,300x = 12,834.60 × 5,322.40
  4. Step 4: Simplify right side
    9,300x = 68,310,875.04
  5. Step 5: Solve for x
    x = 68,310,875.04/9,300
  6. Step 6: Final answer
    x = 7,345.26

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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.