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Finding the Fourth Proportional to 9,597.64, 13,232.82 and 7,925.80

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Solution

The fourth proportional to 9,597.64, 13,232.82 and 7,925.80 is: 10,927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.64 : 13,232.82 = 7,925.80 : x
  2. Step 2: Convert to fraction form
    9,597.64/13,232.82 = 7,925.80/x
  3. Step 3: Cross multiply
    9,597.64x = 13,232.82 × 7,925.80
  4. Step 4: Simplify right side
    9,597.64x = 104,880,684.76
  5. Step 5: Solve for x
    x = 104,880,684.76/9,597.64
  6. Step 6: Final answer
    x = 10,927.76

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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.