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Finding the Fourth Proportional to 9,603.11, 14,386.02 and 6,306.20

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Solution

The fourth proportional to 9,603.11, 14,386.02 and 6,306.20 is: 9,447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.11 : 14,386.02 = 6,306.20 : x
  2. Step 2: Convert to fraction form
    9,603.11/14,386.02 = 6,306.20/x
  3. Step 3: Cross multiply
    9,603.11x = 14,386.02 × 6,306.20
  4. Step 4: Simplify right side
    9,603.11x = 90,721,119.32
  5. Step 5: Solve for x
    x = 90,721,119.32/9,603.11
  6. Step 6: Final answer
    x = 9,447.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.