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Finding the Fourth Proportional to 9,159.78, 13,735.08 and 4,477.80

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Solution

The fourth proportional to 9,159.78, 13,735.08 and 4,477.80 is: 6,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.78 : 13,735.08 = 4,477.80 : x
  2. Step 2: Convert to fraction form
    9,159.78/13,735.08 = 4,477.80/x
  3. Step 3: Cross multiply
    9,159.78x = 13,735.08 × 4,477.80
  4. Step 4: Simplify right side
    9,159.78x = 61,502,941.22
  5. Step 5: Solve for x
    x = 61,502,941.22/9,159.78
  6. Step 6: Final answer
    x = 6,714.46

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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.