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Finding the Fourth Proportional to 9,779, 13,495.02 and 5,363

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Solution

The fourth proportional to 9,779, 13,495.02 and 5,363 is: 7,400.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779 : 13,495.02 = 5,363 : x
  2. Step 2: Convert to fraction form
    9,779/13,495.02 = 5,363/x
  3. Step 3: Cross multiply
    9,779x = 13,495.02 × 5,363
  4. Step 4: Simplify right side
    9,779x = 72,373,792.26
  5. Step 5: Solve for x
    x = 72,373,792.26/9,779
  6. Step 6: Final answer
    x = 7,400.94

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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.