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Finding the Fourth Proportional to 28,345.41, 42,509.14 and 9,365.76

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Solution

The fourth proportional to 28,345.41, 42,509.14 and 9,365.76 is: 14,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,345.41 : 42,509.14 = 9,365.76 : x
  2. Step 2: Convert to fraction form
    28,345.41/42,509.14 = 9,365.76/x
  3. Step 3: Cross multiply
    28,345.41x = 42,509.14 × 9,365.76
  4. Step 4: Simplify right side
    28,345.41x = 398,130,379.63
  5. Step 5: Solve for x
    x = 398,130,379.63/28,345.41
  6. Step 6: Final answer
    x = 14,045.67

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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.