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Finding the Fourth Proportional to 7,092.63, 9,780.57 and 4,701.77

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Solution

The fourth proportional to 7,092.63, 9,780.57 and 4,701.77 is: 6,483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.63 : 9,780.57 = 4,701.77 : x
  2. Step 2: Convert to fraction form
    7,092.63/9,780.57 = 4,701.77/x
  3. Step 3: Cross multiply
    7,092.63x = 9,780.57 × 4,701.77
  4. Step 4: Simplify right side
    7,092.63x = 45,985,990.61
  5. Step 5: Solve for x
    x = 45,985,990.61/7,092.63
  6. Step 6: Final answer
    x = 6,483.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.