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Finding the Fourth Proportional to 6,526.94, 9,009.51 and 3,734.06

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Solution

The fourth proportional to 6,526.94, 9,009.51 and 3,734.06 is: 5,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.94 : 9,009.51 = 3,734.06 : x
  2. Step 2: Convert to fraction form
    6,526.94/9,009.51 = 3,734.06/x
  3. Step 3: Cross multiply
    6,526.94x = 9,009.51 × 3,734.06
  4. Step 4: Simplify right side
    6,526.94x = 33,642,050.91
  5. Step 5: Solve for x
    x = 33,642,050.91/6,526.94
  6. Step 6: Final answer
    x = 5,154.34

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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.