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Finding the Fourth Proportional to 9,665.07, 13,345.34 and 7,423.40

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Solution

The fourth proportional to 9,665.07, 13,345.34 and 7,423.40 is: 10,250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.07 : 13,345.34 = 7,423.40 : x
  2. Step 2: Convert to fraction form
    9,665.07/13,345.34 = 7,423.40/x
  3. Step 3: Cross multiply
    9,665.07x = 13,345.34 × 7,423.40
  4. Step 4: Simplify right side
    9,665.07x = 99,067,693.11
  5. Step 5: Solve for x
    x = 99,067,693.11/9,665.07
  6. Step 6: Final answer
    x = 10,250.08

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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.