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Finding the Fourth Proportional to 10,420.42, 15,639.37 and 9,763.58

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Solution

The fourth proportional to 10,420.42, 15,639.37 and 9,763.58 is: 14,653.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.42 : 15,639.37 = 9,763.58 : x
  2. Step 2: Convert to fraction form
    10,420.42/15,639.37 = 9,763.58/x
  3. Step 3: Cross multiply
    10,420.42x = 15,639.37 × 9,763.58
  4. Step 4: Simplify right side
    10,420.42x = 152,696,113.13
  5. Step 5: Solve for x
    x = 152,696,113.13/10,420.42
  6. Step 6: Final answer
    x = 14,653.55

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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.