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Finding the Fourth Proportional to 9,870.91, 14,807.36 and 3,207.13

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Solution

The fourth proportional to 9,870.91, 14,807.36 and 3,207.13 is: 4,811.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.91 : 14,807.36 = 3,207.13 : x
  2. Step 2: Convert to fraction form
    9,870.91/14,807.36 = 3,207.13/x
  3. Step 3: Cross multiply
    9,870.91x = 14,807.36 × 3,207.13
  4. Step 4: Simplify right side
    9,870.91x = 47,489,038.40
  5. Step 5: Solve for x
    x = 47,489,038.40/9,870.91
  6. Step 6: Final answer
    x = 4,811.01

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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.