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Finding the Fourth Proportional to 9,838.48, 14,759.76 and 3,264.32

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Solution

The fourth proportional to 9,838.48, 14,759.76 and 3,264.32 is: 4,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.48 : 14,759.76 = 3,264.32 : x
  2. Step 2: Convert to fraction form
    9,838.48/14,759.76 = 3,264.32/x
  3. Step 3: Cross multiply
    9,838.48x = 14,759.76 × 3,264.32
  4. Step 4: Simplify right side
    9,838.48x = 48,180,579.76
  5. Step 5: Solve for x
    x = 48,180,579.76/9,838.48
  6. Step 6: Final answer
    x = 4,897.16

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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.