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Finding the Fourth Proportional to 9,384.67, 12,950.47 and 5,405.91

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Solution

The fourth proportional to 9,384.67, 12,950.47 and 5,405.91 is: 7,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.67 : 12,950.47 = 5,405.91 : x
  2. Step 2: Convert to fraction form
    9,384.67/12,950.47 = 5,405.91/x
  3. Step 3: Cross multiply
    9,384.67x = 12,950.47 × 5,405.91
  4. Step 4: Simplify right side
    9,384.67x = 70,009,075.28
  5. Step 5: Solve for x
    x = 70,009,075.28/9,384.67
  6. Step 6: Final answer
    x = 7,459.94

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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.