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Finding the Fourth Proportional to 9,521, 14,290.16 and 4,844.16

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Solution

The fourth proportional to 9,521, 14,290.16 and 4,844.16 is: 7,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,521 : 14,290.16 = 4,844.16 : x
  2. Step 2: Convert to fraction form
    9,521/14,290.16 = 4,844.16/x
  3. Step 3: Cross multiply
    9,521x = 14,290.16 × 4,844.16
  4. Step 4: Simplify right side
    9,521x = 69,223,821.47
  5. Step 5: Solve for x
    x = 69,223,821.47/9,521
  6. Step 6: Final answer
    x = 7,270.65

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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.