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Finding the Fourth Proportional to 28,503.40, 42,751.05 and 9,784.30

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Solution

The fourth proportional to 28,503.40, 42,751.05 and 9,784.30 is: 14,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,503.40 : 42,751.05 = 9,784.30 : x
  2. Step 2: Convert to fraction form
    28,503.40/42,751.05 = 9,784.30/x
  3. Step 3: Cross multiply
    28,503.40x = 42,751.05 × 9,784.30
  4. Step 4: Simplify right side
    28,503.40x = 418,289,098.52
  5. Step 5: Solve for x
    x = 418,289,098.52/28,503.40
  6. Step 6: Final answer
    x = 14,675.06

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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.