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Finding the Fourth Proportional to 7,038.30, 9,712.73 and 4,054.13

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Solution

The fourth proportional to 7,038.30, 9,712.73 and 4,054.13 is: 5,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.30 : 9,712.73 = 4,054.13 : x
  2. Step 2: Convert to fraction form
    7,038.30/9,712.73 = 4,054.13/x
  3. Step 3: Cross multiply
    7,038.30x = 9,712.73 × 4,054.13
  4. Step 4: Simplify right side
    7,038.30x = 39,376,631.65
  5. Step 5: Solve for x
    x = 39,376,631.65/7,038.30
  6. Step 6: Final answer
    x = 5,594.62

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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.