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Finding the Fourth Proportional to 9,851.18, 13,599.65 and 7,608.02

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Solution

The fourth proportional to 9,851.18, 13,599.65 and 7,608.02 is: 10,502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.18 : 13,599.65 = 7,608.02 : x
  2. Step 2: Convert to fraction form
    9,851.18/13,599.65 = 7,608.02/x
  3. Step 3: Cross multiply
    9,851.18x = 13,599.65 × 7,608.02
  4. Step 4: Simplify right side
    9,851.18x = 103,466,409.19
  5. Step 5: Solve for x
    x = 103,466,409.19/9,851.18
  6. Step 6: Final answer
    x = 10,502.95

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Why These Related Problems?

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