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Finding the Fourth Proportional to 9,307.29, 12,846.33 and 5,723.13

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Solution

The fourth proportional to 9,307.29, 12,846.33 and 5,723.13 is: 7,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.29 : 12,846.33 = 5,723.13 : x
  2. Step 2: Convert to fraction form
    9,307.29/12,846.33 = 5,723.13/x
  3. Step 3: Cross multiply
    9,307.29x = 12,846.33 × 5,723.13
  4. Step 4: Simplify right side
    9,307.29x = 73,521,216.61
  5. Step 5: Solve for x
    x = 73,521,216.61/9,307.29
  6. Step 6: Final answer
    x = 7,899.32

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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.