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Finding the Fourth Proportional to 9,283.58, 13,925.16 and 2,263.63

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Solution

The fourth proportional to 9,283.58, 13,925.16 and 2,263.63 is: 3,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.58 : 13,925.16 = 2,263.63 : x
  2. Step 2: Convert to fraction form
    9,283.58/13,925.16 = 2,263.63/x
  3. Step 3: Cross multiply
    9,283.58x = 13,925.16 × 2,263.63
  4. Step 4: Simplify right side
    9,283.58x = 31,521,409.93
  5. Step 5: Solve for x
    x = 31,521,409.93/9,283.58
  6. Step 6: Final answer
    x = 3,395.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.