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Finding the Fourth Proportional to 9,459.47, 13,053.89 and 6,475.23

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Solution

The fourth proportional to 9,459.47, 13,053.89 and 6,475.23 is: 8,935.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.47 : 13,053.89 = 6,475.23 : x
  2. Step 2: Convert to fraction form
    9,459.47/13,053.89 = 6,475.23/x
  3. Step 3: Cross multiply
    9,459.47x = 13,053.89 × 6,475.23
  4. Step 4: Simplify right side
    9,459.47x = 84,526,907.77
  5. Step 5: Solve for x
    x = 84,526,907.77/9,459.47
  6. Step 6: Final answer
    x = 8,935.69

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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.