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Finding the Fourth Proportional to 7,056.85, 9,733.98 and 4,534.62

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Solution

The fourth proportional to 7,056.85, 9,733.98 and 4,534.62 is: 6,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.85 : 9,733.98 = 4,534.62 : x
  2. Step 2: Convert to fraction form
    7,056.85/9,733.98 = 4,534.62/x
  3. Step 3: Cross multiply
    7,056.85x = 9,733.98 × 4,534.62
  4. Step 4: Simplify right side
    7,056.85x = 44,139,900.39
  5. Step 5: Solve for x
    x = 44,139,900.39/7,056.85
  6. Step 6: Final answer
    x = 6,254.90

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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.