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Finding the Fourth Proportional to 10,430.58, 15,645.87 and 9,607.62

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Solution

The fourth proportional to 10,430.58, 15,645.87 and 9,607.62 is: 14,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.58 : 15,645.87 = 9,607.62 : x
  2. Step 2: Convert to fraction form
    10,430.58/15,645.87 = 9,607.62/x
  3. Step 3: Cross multiply
    10,430.58x = 15,645.87 × 9,607.62
  4. Step 4: Simplify right side
    10,430.58x = 150,319,573.53
  5. Step 5: Solve for x
    x = 150,319,573.53/10,430.58
  6. Step 6: Final answer
    x = 14,411.43

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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.