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Finding the Fourth Proportional to 9,455.40, 14,189.48 and 7,117.14

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Solution

The fourth proportional to 9,455.40, 14,189.48 and 7,117.14 is: 10,680.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,455.40 : 14,189.48 = 7,117.14 : x
  2. Step 2: Convert to fraction form
    9,455.40/14,189.48 = 7,117.14/x
  3. Step 3: Cross multiply
    9,455.40x = 14,189.48 × 7,117.14
  4. Step 4: Simplify right side
    9,455.40x = 100,988,444.74
  5. Step 5: Solve for x
    x = 100,988,444.74/9,455.40
  6. Step 6: Final answer
    x = 10,680.50

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Why These Related Problems?

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