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Finding the Fourth Proportional to 9,407.40, 12,983.36 and 5,428.52

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Solution

The fourth proportional to 9,407.40, 12,983.36 and 5,428.52 is: 7,492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.40 : 12,983.36 = 5,428.52 : x
  2. Step 2: Convert to fraction form
    9,407.40/12,983.36 = 5,428.52/x
  3. Step 3: Cross multiply
    9,407.40x = 12,983.36 × 5,428.52
  4. Step 4: Simplify right side
    9,407.40x = 70,480,429.43
  5. Step 5: Solve for x
    x = 70,480,429.43/9,407.40
  6. Step 6: Final answer
    x = 7,492.02

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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.