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Finding the Fourth Proportional to 9,302.94, 14,018.39 and 7,695.60

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Solution

The fourth proportional to 9,302.94, 14,018.39 and 7,695.60 is: 11,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.94 : 14,018.39 = 7,695.60 : x
  2. Step 2: Convert to fraction form
    9,302.94/14,018.39 = 7,695.60/x
  3. Step 3: Cross multiply
    9,302.94x = 14,018.39 × 7,695.60
  4. Step 4: Simplify right side
    9,302.94x = 107,879,883.61
  5. Step 5: Solve for x
    x = 107,879,883.61/9,302.94
  6. Step 6: Final answer
    x = 11,596.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.