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Finding the Fourth Proportional to 9,389.73, 12,957.72 and 5,140.74

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Solution

The fourth proportional to 9,389.73, 12,957.72 and 5,140.74 is: 7,094.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.73 : 12,957.72 = 5,140.74 : x
  2. Step 2: Convert to fraction form
    9,389.73/12,957.72 = 5,140.74/x
  3. Step 3: Cross multiply
    9,389.73x = 12,957.72 × 5,140.74
  4. Step 4: Simplify right side
    9,389.73x = 66,612,269.51
  5. Step 5: Solve for x
    x = 66,612,269.51/9,389.73
  6. Step 6: Final answer
    x = 7,094.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.