Home / 9,546-14,319.36-2,972.16

Finding the Fourth Proportional to 9,546, 14,319.36 and 2,972.16

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Solution

The fourth proportional to 9,546, 14,319.36 and 2,972.16 is: 4,458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546 : 14,319.36 = 2,972.16 : x
  2. Step 2: Convert to fraction form
    9,546/14,319.36 = 2,972.16/x
  3. Step 3: Cross multiply
    9,546x = 14,319.36 × 2,972.16
  4. Step 4: Simplify right side
    9,546x = 42,559,429.02
  5. Step 5: Solve for x
    x = 42,559,429.02/9,546
  6. Step 6: Final answer
    x = 4,458.35

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Why These Related Problems?

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