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Finding the Fourth Proportional to 9,870.83, 14,793.27 and 4,678.19

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Solution

The fourth proportional to 9,870.83, 14,793.27 and 4,678.19 is: 7,011.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.83 : 14,793.27 = 4,678.19 : x
  2. Step 2: Convert to fraction form
    9,870.83/14,793.27 = 4,678.19/x
  3. Step 3: Cross multiply
    9,870.83x = 14,793.27 × 4,678.19
  4. Step 4: Simplify right side
    9,870.83x = 69,205,653.81
  5. Step 5: Solve for x
    x = 69,205,653.81/9,870.83
  6. Step 6: Final answer
    x = 7,011.13

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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.