Home / 9,702.08-14,557.44-5,084

Finding the Fourth Proportional to 9,702.08, 14,557.44 and 5,084

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Solution

The fourth proportional to 9,702.08, 14,557.44 and 5,084 is: 7,628.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.08 : 14,557.44 = 5,084 : x
  2. Step 2: Convert to fraction form
    9,702.08/14,557.44 = 5,084/x
  3. Step 3: Cross multiply
    9,702.08x = 14,557.44 × 5,084
  4. Step 4: Simplify right side
    9,702.08x = 74,010,024.96
  5. Step 5: Solve for x
    x = 74,010,024.96/9,702.08
  6. Step 6: Final answer
    x = 7,628.26

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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.