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Finding the Fourth Proportional to 9,715.24, 14,580.48 and 6,774.40

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Solution

The fourth proportional to 9,715.24, 14,580.48 and 6,774.40 is: 10,166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.24 : 14,580.48 = 6,774.40 : x
  2. Step 2: Convert to fraction form
    9,715.24/14,580.48 = 6,774.40/x
  3. Step 3: Cross multiply
    9,715.24x = 14,580.48 × 6,774.40
  4. Step 4: Simplify right side
    9,715.24x = 98,774,003.71
  5. Step 5: Solve for x
    x = 98,774,003.71/9,715.24
  6. Step 6: Final answer
    x = 10,166.91

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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.