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Finding the Fourth Proportional to 9,853.30, 13,602.58 and 7,610.14

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Solution

The fourth proportional to 9,853.30, 13,602.58 and 7,610.14 is: 10,505.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.30 : 13,602.58 = 7,610.14 : x
  2. Step 2: Convert to fraction form
    9,853.30/13,602.58 = 7,610.14/x
  3. Step 3: Cross multiply
    9,853.30x = 13,602.58 × 7,610.14
  4. Step 4: Simplify right side
    9,853.30x = 103,517,538.16
  5. Step 5: Solve for x
    x = 103,517,538.16/9,853.30
  6. Step 6: Final answer
    x = 10,505.88

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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.