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Finding the Fourth Proportional to 9,783.40, 13,501.14 and 5,804.74

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Solution

The fourth proportional to 9,783.40, 13,501.14 and 5,804.74 is: 8,010.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.40 : 13,501.14 = 5,804.74 : x
  2. Step 2: Convert to fraction form
    9,783.40/13,501.14 = 5,804.74/x
  3. Step 3: Cross multiply
    9,783.40x = 13,501.14 × 5,804.74
  4. Step 4: Simplify right side
    9,783.40x = 78,370,607.40
  5. Step 5: Solve for x
    x = 78,370,607.40/9,783.40
  6. Step 6: Final answer
    x = 8,010.57

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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.