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Finding the Fourth Proportional to 9,756.60, 14,635.70 and 4,210.20

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Solution

The fourth proportional to 9,756.60, 14,635.70 and 4,210.20 is: 6,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.60 : 14,635.70 = 4,210.20 : x
  2. Step 2: Convert to fraction form
    9,756.60/14,635.70 = 4,210.20/x
  3. Step 3: Cross multiply
    9,756.60x = 14,635.70 × 4,210.20
  4. Step 4: Simplify right side
    9,756.60x = 61,619,224.14
  5. Step 5: Solve for x
    x = 61,619,224.14/9,756.60
  6. Step 6: Final answer
    x = 6,315.65

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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.