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Finding the Fourth Proportional to 9,946.32, 13,726.98 and 6,172.08

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Solution

The fourth proportional to 9,946.32, 13,726.98 and 6,172.08 is: 8,518.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.32 : 13,726.98 = 6,172.08 : x
  2. Step 2: Convert to fraction form
    9,946.32/13,726.98 = 6,172.08/x
  3. Step 3: Cross multiply
    9,946.32x = 13,726.98 × 6,172.08
  4. Step 4: Simplify right side
    9,946.32x = 84,724,018.72
  5. Step 5: Solve for x
    x = 84,724,018.72/9,946.32
  6. Step 6: Final answer
    x = 8,518.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.