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Finding the Fourth Proportional to 9,931.68, 13,696.74 and 6,577.83

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Solution

The fourth proportional to 9,931.68, 13,696.74 and 6,577.83 is: 9,071.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.68 : 13,696.74 = 6,577.83 : x
  2. Step 2: Convert to fraction form
    9,931.68/13,696.74 = 6,577.83/x
  3. Step 3: Cross multiply
    9,931.68x = 13,696.74 × 6,577.83
  4. Step 4: Simplify right side
    9,931.68x = 90,094,827.27
  5. Step 5: Solve for x
    x = 90,094,827.27/9,931.68
  6. Step 6: Final answer
    x = 9,071.46

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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.