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Finding the Fourth Proportional to 7,097.46, 9,788.10 and 4,445.10

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Solution

The fourth proportional to 7,097.46, 9,788.10 and 4,445.10 is: 6,130.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.46 : 9,788.10 = 4,445.10 : x
  2. Step 2: Convert to fraction form
    7,097.46/9,788.10 = 4,445.10/x
  3. Step 3: Cross multiply
    7,097.46x = 9,788.10 × 4,445.10
  4. Step 4: Simplify right side
    7,097.46x = 43,509,083.31
  5. Step 5: Solve for x
    x = 43,509,083.31/7,097.46
  6. Step 6: Final answer
    x = 6,130.23

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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.