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Finding the Fourth Proportional to 9,465.83, 13,065.90 and 6,106.05

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Solution

The fourth proportional to 9,465.83, 13,065.90 and 6,106.05 is: 8,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.83 : 13,065.90 = 6,106.05 : x
  2. Step 2: Convert to fraction form
    9,465.83/13,065.90 = 6,106.05/x
  3. Step 3: Cross multiply
    9,465.83x = 13,065.90 × 6,106.05
  4. Step 4: Simplify right side
    9,465.83x = 79,781,038.70
  5. Step 5: Solve for x
    x = 79,781,038.70/9,465.83
  6. Step 6: Final answer
    x = 8,428.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.