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Finding the Fourth Proportional to 7,129.50, 9,838.71 and 4,335

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Solution

The fourth proportional to 7,129.50, 9,838.71 and 4,335 is: 5,982.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.50 : 9,838.71 = 4,335 : x
  2. Step 2: Convert to fraction form
    7,129.50/9,838.71 = 4,335/x
  3. Step 3: Cross multiply
    7,129.50x = 9,838.71 × 4,335
  4. Step 4: Simplify right side
    7,129.50x = 42,650,807.85
  5. Step 5: Solve for x
    x = 42,650,807.85/7,129.50
  6. Step 6: Final answer
    x = 5,982.30

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