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Finding the Fourth Proportional to 9,417, 14,119.26 and 4,487.40

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Solution

The fourth proportional to 9,417, 14,119.26 and 4,487.40 is: 6,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417 : 14,119.26 = 4,487.40 : x
  2. Step 2: Convert to fraction form
    9,417/14,119.26 = 4,487.40/x
  3. Step 3: Cross multiply
    9,417x = 14,119.26 × 4,487.40
  4. Step 4: Simplify right side
    9,417x = 63,358,767.32
  5. Step 5: Solve for x
    x = 63,358,767.32/9,417
  6. Step 6: Final answer
    x = 6,728.13

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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.