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Finding the Fourth Proportional to 8,970, 13,457.74 and 4,590.56

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Solution

The fourth proportional to 8,970, 13,457.74 and 4,590.56 is: 6,887.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970 : 13,457.74 = 4,590.56 : x
  2. Step 2: Convert to fraction form
    8,970/13,457.74 = 4,590.56/x
  3. Step 3: Cross multiply
    8,970x = 13,457.74 × 4,590.56
  4. Step 4: Simplify right side
    8,970x = 61,778,562.93
  5. Step 5: Solve for x
    x = 61,778,562.93/8,970
  6. Step 6: Final answer
    x = 6,887.24

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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.