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Finding the Fourth Proportional to 9,419.46, 14,098.68 and 6,953.28

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Solution

The fourth proportional to 9,419.46, 14,098.68 and 6,953.28 is: 10,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.46 : 14,098.68 = 6,953.28 : x
  2. Step 2: Convert to fraction form
    9,419.46/14,098.68 = 6,953.28/x
  3. Step 3: Cross multiply
    9,419.46x = 14,098.68 × 6,953.28
  4. Step 4: Simplify right side
    9,419.46x = 98,032,069.67
  5. Step 5: Solve for x
    x = 98,032,069.67/9,419.46
  6. Step 6: Final answer
    x = 10,407.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.