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Finding the Fourth Proportional to 7,129.95, 9,829.04 and 4,888.28

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Solution

The fourth proportional to 7,129.95, 9,829.04 and 4,888.28 is: 6,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.95 : 9,829.04 = 4,888.28 : x
  2. Step 2: Convert to fraction form
    7,129.95/9,829.04 = 4,888.28/x
  3. Step 3: Cross multiply
    7,129.95x = 9,829.04 × 4,888.28
  4. Step 4: Simplify right side
    7,129.95x = 48,047,038.29
  5. Step 5: Solve for x
    x = 48,047,038.29/7,129.95
  6. Step 6: Final answer
    x = 6,738.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.