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Finding the Fourth Proportional to 9,666.48, 14,506.20 and 6,206.16

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Solution

The fourth proportional to 9,666.48, 14,506.20 and 6,206.16 is: 9,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.48 : 14,506.20 = 6,206.16 : x
  2. Step 2: Convert to fraction form
    9,666.48/14,506.20 = 6,206.16/x
  3. Step 3: Cross multiply
    9,666.48x = 14,506.20 × 6,206.16
  4. Step 4: Simplify right side
    9,666.48x = 90,027,798.19
  5. Step 5: Solve for x
    x = 90,027,798.19/9,666.48
  6. Step 6: Final answer
    x = 9,313.40

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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.