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Finding the Fourth Proportional to 9,482.47, 13,070.91 and 6,493.14

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Solution

The fourth proportional to 9,482.47, 13,070.91 and 6,493.14 is: 8,950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.47 : 13,070.91 = 6,493.14 : x
  2. Step 2: Convert to fraction form
    9,482.47/13,070.91 = 6,493.14/x
  3. Step 3: Cross multiply
    9,482.47x = 13,070.91 × 6,493.14
  4. Step 4: Simplify right side
    9,482.47x = 84,871,248.56
  5. Step 5: Solve for x
    x = 84,871,248.56/9,482.47
  6. Step 6: Final answer
    x = 8,950.33

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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.