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Finding the Fourth Proportional to 9,159.53, 13,730.99 and 3,312

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Solution

The fourth proportional to 9,159.53, 13,730.99 and 3,312 is: 4,965.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.53 : 13,730.99 = 3,312 : x
  2. Step 2: Convert to fraction form
    9,159.53/13,730.99 = 3,312/x
  3. Step 3: Cross multiply
    9,159.53x = 13,730.99 × 3,312
  4. Step 4: Simplify right side
    9,159.53x = 45,477,022.32
  5. Step 5: Solve for x
    x = 45,477,022.32/9,159.53
  6. Step 6: Final answer
    x = 4,965.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.