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Finding the Fourth Proportional to 6,509.60, 9,771.60 and 4,047.20

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Solution

The fourth proportional to 6,509.60, 9,771.60 and 4,047.20 is: 6,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.60 : 9,771.60 = 4,047.20 : x
  2. Step 2: Convert to fraction form
    6,509.60/9,771.60 = 4,047.20/x
  3. Step 3: Cross multiply
    6,509.60x = 9,771.60 × 4,047.20
  4. Step 4: Simplify right side
    6,509.60x = 39,547,619.52
  5. Step 5: Solve for x
    x = 39,547,619.52/6,509.60
  6. Step 6: Final answer
    x = 6,075.28

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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.