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Finding the Fourth Proportional to 28,497.38, 42,746.67 and 9,777.33

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Solution

The fourth proportional to 28,497.38, 42,746.67 and 9,777.33 is: 14,666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,497.38 : 42,746.67 = 9,777.33 : x
  2. Step 2: Convert to fraction form
    28,497.38/42,746.67 = 9,777.33/x
  3. Step 3: Cross multiply
    28,497.38x = 42,746.67 × 9,777.33
  4. Step 4: Simplify right side
    28,497.38x = 417,948,298.99
  5. Step 5: Solve for x
    x = 417,948,298.99/28,497.38
  6. Step 6: Final answer
    x = 14,666.20

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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.