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Finding the Fourth Proportional to 6,503.12, 9,754.68 and 1,886.48

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Solution

The fourth proportional to 6,503.12, 9,754.68 and 1,886.48 is: 2,829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.12 : 9,754.68 = 1,886.48 : x
  2. Step 2: Convert to fraction form
    6,503.12/9,754.68 = 1,886.48/x
  3. Step 3: Cross multiply
    6,503.12x = 9,754.68 × 1,886.48
  4. Step 4: Simplify right side
    6,503.12x = 18,402,008.73
  5. Step 5: Solve for x
    x = 18,402,008.73/6,503.12
  6. Step 6: Final answer
    x = 2,829.72

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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.