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Finding the Fourth Proportional to 9,300.24, 12,830.70 and 5,319.22

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Solution

The fourth proportional to 9,300.24, 12,830.70 and 5,319.22 is: 7,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.24 : 12,830.70 = 5,319.22 : x
  2. Step 2: Convert to fraction form
    9,300.24/12,830.70 = 5,319.22/x
  3. Step 3: Cross multiply
    9,300.24x = 12,830.70 × 5,319.22
  4. Step 4: Simplify right side
    9,300.24x = 68,249,316.05
  5. Step 5: Solve for x
    x = 68,249,316.05/9,300.24
  6. Step 6: Final answer
    x = 7,338.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.