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Finding the Fourth Proportional to 9,733.41, 13,430.76 and 5,483.76

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Solution

The fourth proportional to 9,733.41, 13,430.76 and 5,483.76 is: 7,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.41 : 13,430.76 = 5,483.76 : x
  2. Step 2: Convert to fraction form
    9,733.41/13,430.76 = 5,483.76/x
  3. Step 3: Cross multiply
    9,733.41x = 13,430.76 × 5,483.76
  4. Step 4: Simplify right side
    9,733.41x = 73,651,064.46
  5. Step 5: Solve for x
    x = 73,651,064.46/9,733.41
  6. Step 6: Final answer
    x = 7,566.83

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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.