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Finding the Fourth Proportional to 9,703.10, 14,554.72 and 5,318.16

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Solution

The fourth proportional to 9,703.10, 14,554.72 and 5,318.16 is: 7,977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.10 : 14,554.72 = 5,318.16 : x
  2. Step 2: Convert to fraction form
    9,703.10/14,554.72 = 5,318.16/x
  3. Step 3: Cross multiply
    9,703.10x = 14,554.72 × 5,318.16
  4. Step 4: Simplify right side
    9,703.10x = 77,404,329.72
  5. Step 5: Solve for x
    x = 77,404,329.72/9,703.10
  6. Step 6: Final answer
    x = 7,977.28

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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.