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Finding the Fourth Proportional to 28,371.16, 42,547.74 and 9,647.86

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Solution

The fourth proportional to 28,371.16, 42,547.74 and 9,647.86 is: 14,468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,371.16 : 42,547.74 = 9,647.86 : x
  2. Step 2: Convert to fraction form
    28,371.16/42,547.74 = 9,647.86/x
  3. Step 3: Cross multiply
    28,371.16x = 42,547.74 × 9,647.86
  4. Step 4: Simplify right side
    28,371.16x = 410,494,638.84
  5. Step 5: Solve for x
    x = 410,494,638.84/28,371.16
  6. Step 6: Final answer
    x = 14,468.73

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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.