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Finding the Fourth Proportional to 34,377.14, 51,565.74 and 9,417.40

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Solution

The fourth proportional to 34,377.14, 51,565.74 and 9,417.40 is: 14,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,377.14 : 51,565.74 = 9,417.40 : x
  2. Step 2: Convert to fraction form
    34,377.14/51,565.74 = 9,417.40/x
  3. Step 3: Cross multiply
    34,377.14x = 51,565.74 × 9,417.40
  4. Step 4: Simplify right side
    34,377.14x = 485,615,106.28
  5. Step 5: Solve for x
    x = 485,615,106.28/34,377.14
  6. Step 6: Final answer
    x = 14,126.11

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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.