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Finding the Fourth Proportional to 9,030.74, 12,434.72 and 7,905.38

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Solution

The fourth proportional to 9,030.74, 12,434.72 and 7,905.38 is: 10,885.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,030.74 : 12,434.72 = 7,905.38 : x
  2. Step 2: Convert to fraction form
    9,030.74/12,434.72 = 7,905.38/x
  3. Step 3: Cross multiply
    9,030.74x = 12,434.72 × 7,905.38
  4. Step 4: Simplify right side
    9,030.74x = 98,301,186.79
  5. Step 5: Solve for x
    x = 98,301,186.79/9,030.74
  6. Step 6: Final answer
    x = 10,885.18

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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.