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Finding the Fourth Proportional to 9,711.66, 14,570.06 and 3,048.14

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Solution

The fourth proportional to 9,711.66, 14,570.06 and 3,048.14 is: 4,573.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.66 : 14,570.06 = 3,048.14 : x
  2. Step 2: Convert to fraction form
    9,711.66/14,570.06 = 3,048.14/x
  3. Step 3: Cross multiply
    9,711.66x = 14,570.06 × 3,048.14
  4. Step 4: Simplify right side
    9,711.66x = 44,411,582.69
  5. Step 5: Solve for x
    x = 44,411,582.69/9,711.66
  6. Step 6: Final answer
    x = 4,573.02

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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.