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Finding the Fourth Proportional to 9,499.76, 13,109.66 and 5,308

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Solution

The fourth proportional to 9,499.76, 13,109.66 and 5,308 is: 7,325.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.76 : 13,109.66 = 5,308 : x
  2. Step 2: Convert to fraction form
    9,499.76/13,109.66 = 5,308/x
  3. Step 3: Cross multiply
    9,499.76x = 13,109.66 × 5,308
  4. Step 4: Simplify right side
    9,499.76x = 69,586,075.28
  5. Step 5: Solve for x
    x = 69,586,075.28/9,499.76
  6. Step 6: Final answer
    x = 7,325.04

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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.