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Finding the Fourth Proportional to 9,623, 13,279.76 and 5,431.16

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Solution

The fourth proportional to 9,623, 13,279.76 and 5,431.16 is: 7,495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623 : 13,279.76 = 5,431.16 : x
  2. Step 2: Convert to fraction form
    9,623/13,279.76 = 5,431.16/x
  3. Step 3: Cross multiply
    9,623x = 13,279.76 × 5,431.16
  4. Step 4: Simplify right side
    9,623x = 72,124,501.32
  5. Step 5: Solve for x
    x = 72,124,501.32/9,623
  6. Step 6: Final answer
    x = 7,495.01

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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.