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Finding the Fourth Proportional to 9,963.66, 14,945.34 and 3,038.16

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Solution

The fourth proportional to 9,963.66, 14,945.34 and 3,038.16 is: 4,557.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.66 : 14,945.34 = 3,038.16 : x
  2. Step 2: Convert to fraction form
    9,963.66/14,945.34 = 3,038.16/x
  3. Step 3: Cross multiply
    9,963.66x = 14,945.34 × 3,038.16
  4. Step 4: Simplify right side
    9,963.66x = 45,406,334.17
  5. Step 5: Solve for x
    x = 45,406,334.17/9,963.66
  6. Step 6: Final answer
    x = 4,557.19

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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.