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Finding the Fourth Proportional to 9,399.84, 12,973.14 and 5,420.16

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Solution

The fourth proportional to 9,399.84, 12,973.14 and 5,420.16 is: 7,480.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.84 : 12,973.14 = 5,420.16 : x
  2. Step 2: Convert to fraction form
    9,399.84/12,973.14 = 5,420.16/x
  3. Step 3: Cross multiply
    9,399.84x = 12,973.14 × 5,420.16
  4. Step 4: Simplify right side
    9,399.84x = 70,316,494.50
  5. Step 5: Solve for x
    x = 70,316,494.50/9,399.84
  6. Step 6: Final answer
    x = 7,480.61

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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.