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Finding the Fourth Proportional to 9,657.77, 14,488.52 and 3,417.08

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Solution

The fourth proportional to 9,657.77, 14,488.52 and 3,417.08 is: 5,126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.77 : 14,488.52 = 3,417.08 : x
  2. Step 2: Convert to fraction form
    9,657.77/14,488.52 = 3,417.08/x
  3. Step 3: Cross multiply
    9,657.77x = 14,488.52 × 3,417.08
  4. Step 4: Simplify right side
    9,657.77x = 49,508,342.39
  5. Step 5: Solve for x
    x = 49,508,342.39/9,657.77
  6. Step 6: Final answer
    x = 5,126.27

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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.