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Finding the Fourth Proportional to 9,820.61, 14,745.69 and 8,448.87

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Solution

The fourth proportional to 9,820.61, 14,745.69 and 8,448.87 is: 12,686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.61 : 14,745.69 = 8,448.87 : x
  2. Step 2: Convert to fraction form
    9,820.61/14,745.69 = 8,448.87/x
  3. Step 3: Cross multiply
    9,820.61x = 14,745.69 × 8,448.87
  4. Step 4: Simplify right side
    9,820.61x = 124,584,417.87
  5. Step 5: Solve for x
    x = 124,584,417.87/9,820.61
  6. Step 6: Final answer
    x = 12,686.02

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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.