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Finding the Fourth Proportional to 9,783.56, 13,500.95 and 5,307.17

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Solution

The fourth proportional to 9,783.56, 13,500.95 and 5,307.17 is: 7,323.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.56 : 13,500.95 = 5,307.17 : x
  2. Step 2: Convert to fraction form
    9,783.56/13,500.95 = 5,307.17/x
  3. Step 3: Cross multiply
    9,783.56x = 13,500.95 × 5,307.17
  4. Step 4: Simplify right side
    9,783.56x = 71,651,769.31
  5. Step 5: Solve for x
    x = 71,651,769.31/9,783.56
  6. Step 6: Final answer
    x = 7,323.69

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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.