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Finding the Fourth Proportional to 10,477.37, 15,725.48 and 9,365.04

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Solution

The fourth proportional to 10,477.37, 15,725.48 and 9,365.04 is: 14,055.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.37 : 15,725.48 = 9,365.04 : x
  2. Step 2: Convert to fraction form
    10,477.37/15,725.48 = 9,365.04/x
  3. Step 3: Cross multiply
    10,477.37x = 15,725.48 × 9,365.04
  4. Step 4: Simplify right side
    10,477.37x = 147,269,702.39
  5. Step 5: Solve for x
    x = 147,269,702.39/10,477.37
  6. Step 6: Final answer
    x = 14,055.98

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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.