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Finding the Fourth Proportional to 9,307.14, 12,844.14 and 5,329.53

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Solution

The fourth proportional to 9,307.14, 12,844.14 and 5,329.53 is: 7,354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.14 : 12,844.14 = 5,329.53 : x
  2. Step 2: Convert to fraction form
    9,307.14/12,844.14 = 5,329.53/x
  3. Step 3: Cross multiply
    9,307.14x = 12,844.14 × 5,329.53
  4. Step 4: Simplify right side
    9,307.14x = 68,453,229.45
  5. Step 5: Solve for x
    x = 68,453,229.45/9,307.14
  6. Step 6: Final answer
    x = 7,354.92

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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.