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Finding the Fourth Proportional to 9,407.60, 12,984.12 and 5,428.04

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Solution

The fourth proportional to 9,407.60, 12,984.12 and 5,428.04 is: 7,491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.60 : 12,984.12 = 5,428.04 : x
  2. Step 2: Convert to fraction form
    9,407.60/12,984.12 = 5,428.04/x
  3. Step 3: Cross multiply
    9,407.60x = 12,984.12 × 5,428.04
  4. Step 4: Simplify right side
    9,407.60x = 70,478,322.72
  5. Step 5: Solve for x
    x = 70,478,322.72/9,407.60
  6. Step 6: Final answer
    x = 7,491.64

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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.