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Finding the Fourth Proportional to 9,657.88, 14,484.30 and 3,417.28

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Solution

The fourth proportional to 9,657.88, 14,484.30 and 3,417.28 is: 5,125.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.88 : 14,484.30 = 3,417.28 : x
  2. Step 2: Convert to fraction form
    9,657.88/14,484.30 = 3,417.28/x
  3. Step 3: Cross multiply
    9,657.88x = 14,484.30 × 3,417.28
  4. Step 4: Simplify right side
    9,657.88x = 49,496,908.70
  5. Step 5: Solve for x
    x = 49,496,908.70/9,657.88
  6. Step 6: Final answer
    x = 5,125.03

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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.