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Finding the Fourth Proportional to 6,473.34, 9,707.58 and 3,547.62

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Solution

The fourth proportional to 6,473.34, 9,707.58 and 3,547.62 is: 5,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.34 : 9,707.58 = 3,547.62 : x
  2. Step 2: Convert to fraction form
    6,473.34/9,707.58 = 3,547.62/x
  3. Step 3: Cross multiply
    6,473.34x = 9,707.58 × 3,547.62
  4. Step 4: Simplify right side
    6,473.34x = 34,438,804.96
  5. Step 5: Solve for x
    x = 34,438,804.96/6,473.34
  6. Step 6: Final answer
    x = 5,320.10

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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.