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Finding the Fourth Proportional to 9,862.77, 13,610.08 and 5,386.45

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Solution

The fourth proportional to 9,862.77, 13,610.08 and 5,386.45 is: 7,433.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.77 : 13,610.08 = 5,386.45 : x
  2. Step 2: Convert to fraction form
    9,862.77/13,610.08 = 5,386.45/x
  3. Step 3: Cross multiply
    9,862.77x = 13,610.08 × 5,386.45
  4. Step 4: Simplify right side
    9,862.77x = 73,310,015.42
  5. Step 5: Solve for x
    x = 73,310,015.42/9,862.77
  6. Step 6: Final answer
    x = 7,433.00

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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.