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Finding the Fourth Proportional to 6,557.76, 9,041.04 and 5,434.56

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Solution

The fourth proportional to 6,557.76, 9,041.04 and 5,434.56 is: 7,492.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.76 : 9,041.04 = 5,434.56 : x
  2. Step 2: Convert to fraction form
    6,557.76/9,041.04 = 5,434.56/x
  3. Step 3: Cross multiply
    6,557.76x = 9,041.04 × 5,434.56
  4. Step 4: Simplify right side
    6,557.76x = 49,134,074.34
  5. Step 5: Solve for x
    x = 49,134,074.34/6,557.76
  6. Step 6: Final answer
    x = 7,492.51

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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.