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Finding the Fourth Proportional to 9,580.87, 13,217.52 and 5,490.51

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Solution

The fourth proportional to 9,580.87, 13,217.52 and 5,490.51 is: 7,574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.87 : 13,217.52 = 5,490.51 : x
  2. Step 2: Convert to fraction form
    9,580.87/13,217.52 = 5,490.51/x
  3. Step 3: Cross multiply
    9,580.87x = 13,217.52 × 5,490.51
  4. Step 4: Simplify right side
    9,580.87x = 72,570,925.74
  5. Step 5: Solve for x
    x = 72,570,925.74/9,580.87
  6. Step 6: Final answer
    x = 7,574.57

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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.