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Finding the Fourth Proportional to 9,670.59, 13,345.56 and 5,421.87

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Solution

The fourth proportional to 9,670.59, 13,345.56 and 5,421.87 is: 7,482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.59 : 13,345.56 = 5,421.87 : x
  2. Step 2: Convert to fraction form
    9,670.59/13,345.56 = 5,421.87/x
  3. Step 3: Cross multiply
    9,670.59x = 13,345.56 × 5,421.87
  4. Step 4: Simplify right side
    9,670.59x = 72,357,891.40
  5. Step 5: Solve for x
    x = 72,357,891.40/9,670.59
  6. Step 6: Final answer
    x = 7,482.26

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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.