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Finding the Fourth Proportional to 10,089.48, 13,925.40 and 6,314.40

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Solution

The fourth proportional to 10,089.48, 13,925.40 and 6,314.40 is: 8,715.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.48 : 13,925.40 = 6,314.40 : x
  2. Step 2: Convert to fraction form
    10,089.48/13,925.40 = 6,314.40/x
  3. Step 3: Cross multiply
    10,089.48x = 13,925.40 × 6,314.40
  4. Step 4: Simplify right side
    10,089.48x = 87,930,545.76
  5. Step 5: Solve for x
    x = 87,930,545.76/10,089.48
  6. Step 6: Final answer
    x = 8,715.07

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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.