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Finding the Fourth Proportional to 9,386.42, 12,932.02 and 7,705.16

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Solution

The fourth proportional to 9,386.42, 12,932.02 and 7,705.16 is: 10,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.42 : 12,932.02 = 7,705.16 : x
  2. Step 2: Convert to fraction form
    9,386.42/12,932.02 = 7,705.16/x
  3. Step 3: Cross multiply
    9,386.42x = 12,932.02 × 7,705.16
  4. Step 4: Simplify right side
    9,386.42x = 99,643,283.22
  5. Step 5: Solve for x
    x = 99,643,283.22/9,386.42
  6. Step 6: Final answer
    x = 10,615.69

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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.