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Finding the Fourth Proportional to 9,416, 14,117.76 and 4,486.40

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Solution

The fourth proportional to 9,416, 14,117.76 and 4,486.40 is: 6,726.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416 : 14,117.76 = 4,486.40 : x
  2. Step 2: Convert to fraction form
    9,416/14,117.76 = 4,486.40/x
  3. Step 3: Cross multiply
    9,416x = 14,117.76 × 4,486.40
  4. Step 4: Simplify right side
    9,416x = 63,337,918.46
  5. Step 5: Solve for x
    x = 63,337,918.46/9,416
  6. Step 6: Final answer
    x = 6,726.63

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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.