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Finding the Fourth Proportional to 9,307.02, 12,843.94 and 5,329.42

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Solution

The fourth proportional to 9,307.02, 12,843.94 and 5,329.42 is: 7,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.02 : 12,843.94 = 5,329.42 : x
  2. Step 2: Convert to fraction form
    9,307.02/12,843.94 = 5,329.42/x
  3. Step 3: Cross multiply
    9,307.02x = 12,843.94 × 5,329.42
  4. Step 4: Simplify right side
    9,307.02x = 68,450,750.71
  5. Step 5: Solve for x
    x = 68,450,750.71/9,307.02
  6. Step 6: Final answer
    x = 7,354.74

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1.5x scale

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.