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Finding the Fourth Proportional to 9,862.63, 13,610.51 and 5,386.30

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Solution

The fourth proportional to 9,862.63, 13,610.51 and 5,386.30 is: 7,433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.63 : 13,610.51 = 5,386.30 : x
  2. Step 2: Convert to fraction form
    9,862.63/13,610.51 = 5,386.30/x
  3. Step 3: Cross multiply
    9,862.63x = 13,610.51 × 5,386.30
  4. Step 4: Simplify right side
    9,862.63x = 73,310,263.08
  5. Step 5: Solve for x
    x = 73,310,263.08/9,862.63
  6. Step 6: Final answer
    x = 7,433.14

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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.